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Límite de la función/ 4*sqrt((2+n)/(8+n))+(8-6*n-5*n^2)/(8-9*n+8*n^3)

Límite de la función 4*sqrt((2+n)/(8+n))+(8-6*n-5*n^2)/(8-9*n+8*n^3)

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Ha introducido [src] 
     /      _______                2\
     |     / 2 + n    8 - 6*n - 5*n |
 lim |4*  /  -----  + --------------|
n->oo|  \/   8 + n                 3|
     \                8 - 9*n + 8*n /
$$\lim_{n \to \infty}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right)$$ 
Limit(4*sqrt((2 + n)/(8 + n)) + (8 - 6*n - 5*n^2)/(8 - 9*n + 8*n^3), n, oo, dir='-')
Método de l'Hopital
Tenemos la indeterminación de tipo
oo/oo,

tal que el límite para el numerador es
$$\lim_{n \to \infty}\left(32 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - 5 n^{2} - 36 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - 6 n + 32 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8\right) = \infty$$
y el límite para el denominador es
$$\lim_{n \to \infty}\left(8 n^{3} - 9 n + 8\right) = \infty$$
Vamos a probar las derivadas del numerador y denominador hasta eliminar la indeterminación.
$$\lim_{n \to \infty}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right)$$
=
Introducimos una pequeña modificación de la función bajo el signo del límite
$$\lim_{n \to \infty}\left(\frac{- 5 n^{2} - 6 n + 4 \sqrt{\frac{n + 2}{n + 8}} \left(8 n^{3} - 9 n + 8\right) + 8}{8 n^{3} - 9 n + 8}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} \left(32 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - 5 n^{2} - 36 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - 6 n + 32 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8\right)}{\frac{d}{d n} \left(8 n^{3} - 9 n + 8\right)}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{- \frac{16 n^{4}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{32 n^{3}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{16 n^{3}}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + 96 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + \frac{18 n^{2}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - 10 n + \frac{20 n}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{18 n}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - 36 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - 6 - \frac{32}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{16}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}}{24 n^{2} - 9}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} \left(- \frac{16 n^{4}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{32 n^{3}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{16 n^{3}}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + 96 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + \frac{18 n^{2}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - 10 n + \frac{20 n}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{18 n}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - 36 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - 6 - \frac{32}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{16}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}\right)}{\frac{d}{d n} \left(24 n^{2} - 9\right)}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{- \frac{8 n^{7}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{160 n^{6}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{8 n^{6}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{32 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{1047 n^{5}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{144 n^{5}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{8 n^{5}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{320 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{2388 n^{4}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{759 n^{4}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{80 n^{4}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{8 n^{4}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{476 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{16 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - \frac{1020 n^{3}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{870 n^{3}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{119 n^{3}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{64 n^{3}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{112 n^{3}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{328 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} + \frac{1824 n^{2}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{720 n^{2}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{82 n^{2}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{9 n^{2}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{192 n^{2}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{96 n^{2}}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + 192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - \frac{256 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} + \frac{18 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - \frac{256 n}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{384 n}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{64 n}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{64 n}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{54 n}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{512 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{16 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - 10 - \frac{2048}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{1024}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{128}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{64}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{56}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{36}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}}{48 n}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} \left(- \frac{8 n^{7}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{160 n^{6}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{8 n^{6}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{32 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{1047 n^{5}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{144 n^{5}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{8 n^{5}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{320 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{2388 n^{4}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{759 n^{4}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{80 n^{4}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{8 n^{4}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{476 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{16 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - \frac{1020 n^{3}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{870 n^{3}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{119 n^{3}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{64 n^{3}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{112 n^{3}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{328 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} + \frac{1824 n^{2}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{720 n^{2}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{82 n^{2}}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{9 n^{2}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{192 n^{2}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{96 n^{2}}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + 192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - \frac{256 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} + \frac{18 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - \frac{256 n}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{384 n}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{64 n}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{64 n}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{54 n}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{512 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{16 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - 10 - \frac{2048}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{1024}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{128}{\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{64}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{56}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{36}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}\right)}{\frac{d}{d n} 48 n}\right)$$
=
$$\lim_{n \to \infty}\left(- \frac{n^{15}}{\frac{12 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1512 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{89424 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3296736 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{84844800 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1617573888 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23656808448 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{271114960896 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2465568129024 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17903596339200 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103902036885504 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{479960984715264 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1748236373065728 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4941926809731072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10575927469670400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16486077346873344 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17574593858371584 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11399736556781568 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3377699720527872 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{708 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39048 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1335984 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31734528 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{554910720 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7389118464 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{76444532736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{621227802624 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3981975748608 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20095212453888 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79218792726528 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{240367844720640 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{548020647100416 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{903798558031872 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1012650209181696 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686095255732224 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{6 n^{14}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{14}}{\frac{12 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1416 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78096 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2671968 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63469056 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1109821440 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14778236928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{152889065472 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1242455605248 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7963951497216 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40190424907776 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{158437585453056 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480735689441280 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1096041294200832 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1807597116063744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2025300418363392 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1372190511464448 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{422212465065984 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{35 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{7 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33768 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1065840 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23207808 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{369248256 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4435132416 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40963473408 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{293520015360 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1633815625728 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7024687448064 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23021293142016 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{56197499584512 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{98440650424320 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{116273354637312 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{82463372083200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26388279066624}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{6205 n^{13}}{\frac{32 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4032 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{238464 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8791296 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{226252800 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4313530368 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63084822528 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{722973229056 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6574848344064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{47742923571200 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79218792726528 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{240367844720640 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{548020647100416 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{903798558031872 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1012650209181696 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686095255732224 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{13}}{\frac{12 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1320 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67536 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2131680 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46415616 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{738496512 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8870264832 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{81926946816 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{587040030720 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3267631251456 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14049374896128 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46042586284032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{112394999169024 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+ \frac{4969822420992 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31855805988864 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{160761699631104 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{633750341812224 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1922942757765120 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4384165176803328 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7230388464254976 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8101201673453568 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5488762045857792 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1688849860263936}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{220 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{612 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28872 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{834864 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16528896 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{237017088 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2538995712 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20651507712 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{128307953664 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{607351996416 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2165871476736 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5694321328128 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10642928959488 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13297218748416 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9895604649984 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3298534883328}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3708 n^{12}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + 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\sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{17495 n^{12}}{\frac{96 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11328 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{624768 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21375744 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + 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+ 24 n^{2} + 192 n + 512} + \frac{14460776928509952 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16202403346907136 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10977524091715584 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3377699720527872 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{31 n^{12}}{\frac{6 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33768 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1065840 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23207808 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{369248256 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26388279066624 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{12}}{\frac{12 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1224 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57744 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1669728 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33057792 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{474034176 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5077991424 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41303015424 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{256615907328 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1214703992832 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4331742953472 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11388642656256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21285857918976 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26594437496832 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19791209299968 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{160489 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{24 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2832 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{156192 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5343936 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126938112 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2219642880 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{29556473856 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{305778130944 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2484911210496 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15927902994432 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80380849815552 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{316875170906112 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{961471378882560 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2192082588401664 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3615194232127488 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4050600836726784 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2744381022928896 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{844424930131968}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{32523 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{16 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1760 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90048 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2842240 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61887488 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{984662016 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11827019776 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{109235929088 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{782720040960 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4356841668608 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{18732499861504 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61390115045376 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{149859998892032 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{262508401131520 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310062279032832 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{219902325555200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70368744177664}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{10 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{29808 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1098912 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28281600 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{539191296 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7885602816 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90371653632 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{821856043008 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5967865446400 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{34634012295168 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159986994905088 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{582745457688576 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1647308936577024 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3525309156556800 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5495359115624448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5858197952790528 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3799912185593856 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1125899906842624 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{160489 n^{11}}{\frac{48 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5664 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{312384 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10687872 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{253876224 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4439285760 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{59112947712 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{611556261888 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4969822420992 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31855805988864 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{160761699631104 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{633750341812224 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1922942757765120 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4384165176803328 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7230388464254976 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8101201673453568 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5488762045857792 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1688849860263936 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4509 n^{11}}{\frac{32 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3520 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{180096 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5684480 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{123774976 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1969324032 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23654039552 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{218471858176 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1565440081920 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8713683337216 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{37464999723008 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{122780230090752 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{299719997784064 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{525016802263040 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{620124558065664 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{439804651110400 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{140737488355328 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{5 n^{11}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1128 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48720 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1279968 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22818048 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{291489792 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2746073088 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19334430720 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101940461568 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{399180300288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1138300551168 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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512} + \frac{6770655232 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{55070687232 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{342154543104 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1619605323776 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5775657271296 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15184856875008 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28381143891968 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35459249995776 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26388279066624 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8796093022208}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{53 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{516 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{478128 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7584000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85072896 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{692453376 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4127588352 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17949523968 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{55993958400 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{121198608384 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{171530256384 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{141733920768 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{51539607552}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{402287 n^{10}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{956753 n^{10}}{\frac{24 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{787525203394560 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{930186837098496 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{659706976665600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4189 n^{10}}{\frac{32 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3264 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{153984 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4452608 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{88154112 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264091136 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13541310464 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110141374464 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{684309086208 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3239210647552 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11551314542592 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30369713750016 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{56762287783936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70918499991552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{52776558133248 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17592186044416 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{23 n^{10}}{\frac{6 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{564 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{639984 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11409024 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145744896 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373036544 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9667215360 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50970230784 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{199590150144 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{569150275584 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1141119123456 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1513975971840 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1185410973696 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{412316860416 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{10}}{\frac{12 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1032 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40464 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{956256 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15168000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{170145792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1384906752 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8255176704 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35899047936 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{111987916800 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{242397216768 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343060512768 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{283467841536 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103079215104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3870691 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{708 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39048 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1335984 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31734528 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{554910720 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7389118464 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{76444532736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{621227802624 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3981975748608 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20095212453888 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79218792726528 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{240367844720640 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{548020647100416 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{903798558031872 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1012650209181696 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686095255732224 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4000045 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{12 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1320 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67536 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2131680 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46415616 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{738496512 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8870264832 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{81926946816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{587040030720 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3267631251456 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14049374896128 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46042586284032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{112394999169024 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{196881300848640 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{232546709274624 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{164926744166400 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{52776558133248}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{46907 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{12 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1224 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57744 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1669728 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33057792 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{474034176 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5077991424 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41303015424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{256615907328 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1214703992832 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4331742953472 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11388642656256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21285857918976 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26594437496832 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19791209299968 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{9639 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{752 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32480 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{853312 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15212032 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{194326528 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1830715392 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12889620480 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67960307712 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{266120200192 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{758867034112 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1521492164608 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2018634629120 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1580547964928 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{22 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{5 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{468 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16488 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346224 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4814208 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46559232 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319979520 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1567752192 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5407506432 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12733906944 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19327352832 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16911433728 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6442450944}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{88 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{10 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{2} + 16 n + 64} + \frac{228 n^{10}}{n^{2} + 16 n + 64} + \frac{7788 n^{9}}{n^{2} + 16 n + 64} + \frac{157536 n^{8}}{n^{2} + 16 n + 64} + \frac{2092032 n^{7}}{n^{2} + 16 n + 64} + \frac{19095552 n^{6}}{n^{2} + 16 n + 64} + \frac{121798656 n^{5}}{n^{2} + 16 n + 64} + \frac{540278784 n^{4}}{n^{2} + 16 n + 64} + \frac{1623195648 n^{3}}{n^{2} + 16 n + 64} + \frac{3120562176 n^{2}}{n^{2} + 16 n + 64} + \frac{3422552064 n}{n^{2} + 16 n + 64} + \frac{1610612736}{n^{2} + 16 n + 64}} - \frac{14630407 n^{9}}{\frac{6 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{44712 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1648368 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42422400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{808786944 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11828404224 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{135557480448 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1232784064512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8951798169600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{51951018442752 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239980492357632 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{874118186532864 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2470963404865536 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5287963734835200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8243038673436672 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8787296929185792 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5699868278390784 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1688849860263936 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{3870691 n^{9}}{\frac{12 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1416 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78096 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2671968 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63469056 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1109821440 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14778236928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{152889065472 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1242455605248 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7963951497216 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40190424907776 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{158437585453056 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480735689441280 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1096041294200832 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1807597116063744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2025300418363392 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1372190511464448 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{422212465065984 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{531229 n^{9}}{\frac{24 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2640 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{135072 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4263360 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92831232 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1476993024 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17740529664 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{163853893632 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1174080061440 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6535262502912 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92085172568064 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{224789998338048 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{393762601697280 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{465093418549248 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{329853488332800 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{46907 n^{9}}{\frac{24 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2448 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115488 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3339456 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66115584 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{948068352 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10155982848 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{82606030848 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{513231814656 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2429407985664 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8663485906944 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22777285312512 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42571715837952 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53188874993664 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39582418599936 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{7127 n^{9}}{\frac{96 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9024 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{389760 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10239744 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{182544384 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2331918336 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21968584704 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{154675445760 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{815523692544 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3193442402304 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9106404409344 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{18257905975296 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24223615549440 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{18966575579136 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{11 n^{9}}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{9}}{\frac{12 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{936 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32976 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{692448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9628416 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{93118464 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{639959040 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3135504384 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10815012864 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25467813888 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38654705664 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33822867456 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12884901888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3586572 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92485120 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1231519744 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12740755456 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103537967104 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{663662624768 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3349202075648 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13203132121088 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40061307453440 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{91336774516736 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{150633093005312 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{168775034863616 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{114349209288704 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35184372088832}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2255445 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{145805 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{4 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{408 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19248 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{556576 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11019264 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{158011392 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1692663808 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13767671808 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85538635776 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{404901330944 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1443914317824 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3796214218752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7095285972992 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8864812498944 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2199023255552}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{122155 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{752 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32480 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{853312 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15212032 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{194326528 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1830715392 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12889620480 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67960307712 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{266120200192 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{758867034112 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1521492164608 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2018634629120 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1580547964928 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2141 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{16 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1376 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53952 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1275008 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20224000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{226861056 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1846542336 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11006902272 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{47865397248 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{149317222400 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{323196289024 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{457414017024 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{377957122048 n}{n^{3} + 24 n^{2} + 192 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64} + \frac{293120 n^{9}}{n^{2} + 16 n + 64} + \frac{4469760 n^{8}}{n^{2} + 16 n + 64} + \frac{47775744 n^{7}}{n^{2} + 16 n + 64} + \frac{366084096 n^{6}}{n^{2} + 16 n + 64} + \frac{2019557376 n^{5}}{n^{2} + 16 n + 64} + \frac{7927234560 n^{4}}{n^{2} + 16 n + 64} + \frac{21474836480 n^{3}}{n^{2} + 16 n + 64} + \frac{37849399296 n^{2}}{n^{2} + 16 n + 64} + \frac{38654705664 n}{n^{2} + 16 n + 64} + \frac{17179869184}{n^{2} + 16 n + 64}} - \frac{n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{420 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13128 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{241200 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2884608 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{132120576 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{510787584 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1321205760 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2164260864 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2013265920 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{805306368}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{124 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} - \frac{10353996 n^{8}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 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+ 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1793286 n^{8}}{\frac{n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92485120 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1231519744 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12740755456 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103537967104 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{663662624768 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3349202075648 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13203132121088 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40061307453440 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{91336774516736 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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+ \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17592186044416 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{145805 n^{8}}{\frac{8 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38496 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1113152 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22038528 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{316022784 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3385327616 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27535343616 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{171077271552 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{809802661888 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2887828635648 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7592428437504 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14190571945984 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17729624997888 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{37589 n^{8}}{\frac{48 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4512 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{194880 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5119872 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{91272192 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1165959168 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10984292352 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{77337722880 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{407761846272 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1596721201152 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4553202204672 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9128952987648 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12111807774720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9483287789568 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3298534883328 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{2141 n^{8}}{\frac{32 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2752 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{107904 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2550016 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40448000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{453722112 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3693084672 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22013804544 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{95730794496 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{298634444800 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{646392578048 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{914828034048 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{755914244096 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274877906944 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3 n^{8}}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{8}}{\frac{12 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{116485 n^{7}}{\frac{24 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2256 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{97440 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2559936 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{45636096 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{582979584 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5492146176 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1912512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30336000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{340291584 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2769813504 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16510353408 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{71798095872 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{223975833600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{484794433536 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686121025536 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n 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n^{2} + 192 n + 512} + \frac{28840034304 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67914170368 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103079215104 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90194313216 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{34359738368 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{17 n^{7}}{\frac{6 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{420 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13128 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{241200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2884608 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{132120576 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{510787584 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1321205760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2164260864 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2013265920 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{805306368 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{33223680 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92485120 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1231519744 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12740755456 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103537967104 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{663662624768 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3349202075648 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13203132121088 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40061307453440 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{91336774516736 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{150633093005312 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{168775034863616 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{114349209288704 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35184372088832}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{29183616 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{822752 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{549210 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 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512} + \frac{6271008768 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21630025728 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50935627776 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{77309411328 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67645734912 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{85319 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{3575 n^{6} \sqrt{\frac{n}{n + 8} 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\frac{243597312 n^{5}}{n^{2} + 16 n + 64} + \frac{1080557568 n^{4}}{n^{2} + 16 n + 64} + \frac{3246391296 n^{3}}{n^{2} + 16 n + 64} + \frac{6241124352 n^{2}}{n^{2} + 16 n + 64} + \frac{6845104128 n}{n^{2} + 16 n + 64} + \frac{3221225472}{n^{2} + 16 n + 64}} + \frac{55 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5076 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79992 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5322240 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67534848 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120324096 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119537664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50331648}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{8}}{n^{2} + 16 n + 64} + \frac{156 n^{7}}{n^{2} + 16 n + 64} + \frac{3468 n^{6}}{n^{2} + 16 n + 64} + \frac{42816 n^{5}}{n^{2} + 16 n + 64} + \frac{318720 n^{4}}{n^{2} + 16 n + 64} + \frac{1449984 n^{3}}{n^{2} + 16 n + 64} + \frac{3883008 n^{2}}{n^{2} + 16 n + 64} + \frac{5505024 n}{n^{2} + 16 n + 64} + \frac{3145728}{n^{2} + 16 n + 64}} - \frac{171410432 n^{6}}{\frac{3 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{378 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22356 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{824184 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21211200 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{404393472 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5914202112 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67778740224 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{616392032256 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4475899084800 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25975509221376 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119990246178816 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{437059093266432 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1235481702432768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2643981867417600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4121519336718336 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4393648464592896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2849934139195392 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{844424930131968 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{16611840 n^{6}}{\frac{n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92485120 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1231519744 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12740755456 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103537967104 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{663662624768 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3349202075648 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13203132121088 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40061307453440 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{91336774516736 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{150633093005312 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{168775034863616 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{114349209288704 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35184372088832 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1731936 n^{6}}{\frac{n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{411376 n^{6}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{212471 n^{6}}{\frac{12 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1128 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48720 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1279968 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22818048 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{291489792 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2746073088 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19334430720 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101940461568 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{399180300288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1138300551168 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2282238246912 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3027951943680 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2370821947392 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{824633720832 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{85319 n^{6}}{\frac{24 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2064 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1912512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30336000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{340291584 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2769813504 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16510353408 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{71798095872 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{223975833600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{484794433536 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686121025536 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{566935683072 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{7345 n^{6}}{\frac{24 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1872 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{65952 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1384896 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19256832 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186236928 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1279918080 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6271008768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21630025728 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50935627776 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{77309411328 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67645734912 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{3575 n^{6}}{\frac{96 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6720 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210048 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3859200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46153728 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{375717888 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2113929216 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8172601344 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21139292160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{34628173824 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32212254720 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12884901888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{7 n^{6}}{\frac{6 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{300 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{72960 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{491520 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1916928 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3932160 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3145728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{n^{6}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{7 n^{6}}{6 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{143478784 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{49499136 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1818368 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1495952 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{21192 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{13845 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{84768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{2} + 16 n + 64} + \frac{84 n^{11}}{n^{2} + 16 n + 64} + \frac{3204 n^{10}}{n^{2} + 16 n + 64} + \frac{73280 n^{9}}{n^{2} + 16 n + 64} + \frac{1117440 n^{8}}{n^{2} + 16 n + 64} + \frac{11943936 n^{7}}{n^{2} + 16 n + 64} + \frac{91521024 n^{6}}{n^{2} + 16 n + 64} + \frac{504889344 n^{5}}{n^{2} + 16 n + 64} + \frac{1981808640 n^{4}}{n^{2} + 16 n + 64} + \frac{5368709120 n^{3}}{n^{2} + 16 n + 64} + \frac{9462349824 n^{2}}{n^{2} + 16 n + 64} + \frac{9663676416 n}{n^{2} + 16 n + 64} + \frac{4294967296}{n^{2} + 16 n + 64}} - \frac{3705 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{560 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17504 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{321600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3846144 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31309824 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{176160768 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{681050112 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1761607680 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2885681152 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2684354560 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{55380 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} + \frac{733 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{4 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{248 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6768 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106656 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1069824 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7096320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31309824 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90046464 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{160432128 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159383552 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67108864}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{6 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{8}}{n^{2} + 16 n + 64} + \frac{52 n^{7}}{n^{2} + 16 n + 64} + \frac{1156 n^{6}}{n^{2} + 16 n + 64} + \frac{14272 n^{5}}{n^{2} + 16 n + 64} + \frac{106240 n^{4}}{n^{2} + 16 n + 64} + \frac{483328 n^{3}}{n^{2} + 16 n + 64} + \frac{1294336 n^{2}}{n^{2} + 16 n + 64} + \frac{1835008 n}{n^{2} + 16 n + 64} + \frac{1048576}{n^{2} + 16 n + 64}} + \frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} - \frac{62238720 n^{5}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2756352 n^{5}}{\frac{n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{909184 n^{5}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{106544 n^{5}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{10596 n^{5}}{\frac{n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{8853 n^{5}}{\frac{8 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{624 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21984 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{461632 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6418944 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62078976 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{426639360 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2090336256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7210008576 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16978542592 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22548578304 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{3705 n^{5}}{\frac{16 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1120 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35008 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{643200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7692288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62619648 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{352321536 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1362100224 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3523215360 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5771362304 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5368709120 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2147483648 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{12 n^{5}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{43 n^{5}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{7 n^{5}}{\frac{6 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{252 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{4320 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{38400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{184320 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{442368 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{393216 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n^{5}}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n^{5}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{86474752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{111984640 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1875968 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1972864 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{85936 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{25152 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{343744 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{220200960 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360710144 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{335544320 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134217728}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{100608 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} + \frac{6155 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{496 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13536 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{213312 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2139648 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14192640 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62619648 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{180092928 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{320864256 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{318767104 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134217728}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{253 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{8}}{n^{2} + 16 n + 64} + \frac{416 n^{7}}{n^{2} + 16 n + 64} + \frac{9248 n^{6}}{n^{2} + 16 n + 64} + \frac{114176 n^{5}}{n^{2} + 16 n + 64} + \frac{849920 n^{4}}{n^{2} + 16 n + 64} + \frac{3866624 n^{3}}{n^{2} + 16 n + 64} + \frac{10354688 n^{2}}{n^{2} + 16 n + 64} + \frac{14680064 n}{n^{2} + 16 n + 64} + \frac{8388608}{n^{2} + 16 n + 64}} + \frac{12 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} + \frac{8 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{24543232 n^{4}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{43237376 n^{4}}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{5586944 n^{4}}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{937984 n^{4}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{91568 n^{4}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{42968 n^{4}}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1743 n^{4}}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1287 n^{4}}{\frac{2 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{140 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4376 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80400 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{961536 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7827456 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{44040192 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{170262528 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{440401920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{721420288 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{671088640 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{268435456 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{119 n^{4}}{\frac{24 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1200 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{25344 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{291840 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7667712 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{15728640 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12582912 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{2359 n^{4}}{\frac{16 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{800 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16896 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{194560 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1310720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5111808 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{10485760 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8388608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{20 n^{4}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{1745 n^{4}}{16 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{72 n^{4}}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{15 n^{4}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n^{4}}{\frac{6 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{204 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2688 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{11 n^{4}}{6 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{25690112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{20905984 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{306 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14436 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{417432 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8264448 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118508544 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1269497856 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10325753856 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{64153976832 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{303675998208 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082935738368 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2847160664064 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5321464479744 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6648609374208 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4947802324992 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{322560 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{11264 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{27776 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{45056 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{912 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2188 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40200 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480768 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3913728 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22020096 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85131264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{220200960 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360710144 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{335544320 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134217728}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{111104 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{2} + 16 n + 64} + \frac{228 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512}} - \frac{1136 n^{3}}{\frac{3 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{456 n^{3}}{\frac{n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2188 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480768 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3913728 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22020096 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85131264 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{220200960 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360710144 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{335544320 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134217728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{78 n^{3}}{\frac{12 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{600 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12672 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{145920 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{983040 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3833856 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7864320 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6291456 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{2645 n^{3}}{\frac{8 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{400 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8448 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{97280 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2555904 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5242880 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{4194304 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{199 n^{3}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{5093 n^{3}}{\frac{48 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2016 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34560 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{307200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1474560 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3538944 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3145728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{119 n^{3}}{\frac{24 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{17280 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{153600 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{737280 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1769472 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{253 n^{3}}{4 \left(\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{n^{3}}{\frac{3 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{102 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1344 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8448 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{50 n^{3}}{3 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{n^{3}}{\frac{6 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{156 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1440 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5376 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{5 n^{3}}{3 \left(\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{8388608 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{11010048 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{917504 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1187840 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{17408 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{17920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{69632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{2} + 16 n + 64} + \frac{84 n^{11}}{n^{2} + 16 n + 64} + \frac{3204 n^{10}}{n^{2} + 16 n + 64} + \frac{73280 n^{9}}{n^{2} + 16 n + 64} + \frac{1117440 n^{8}}{n^{2} + 16 n + 64} + \frac{11943936 n^{7}}{n^{2} + 16 n + 64} + \frac{91521024 n^{6}}{n^{2} + 16 n + 64} + \frac{504889344 n^{5}}{n^{2} + 16 n + 64} + \frac{1981808640 n^{4}}{n^{2} + 16 n + 64} + \frac{5368709120 n^{3}}{n^{2} + 16 n + 64} + \frac{9462349824 n^{2}}{n^{2} + 16 n + 64} + \frac{9663676416 n}{n^{2} + 16 n + 64} + \frac{4294967296}{n^{2} + 16 n + 64}} + \frac{3200 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{71680 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} - \frac{704 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1692 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26664 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{267456 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1774080 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7827456 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22511616 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40108032 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39845888 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16777216}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{30 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{8}}{n^{2} + 16 n + 64} + \frac{52 n^{7}}{n^{2} + 16 n + 64} + \frac{1156 n^{6}}{n^{2} + 16 n + 64} + \frac{14272 n^{5}}{n^{2} + 16 n + 64} + \frac{106240 n^{4}}{n^{2} + 16 n + 64} + \frac{483328 n^{3}}{n^{2} + 16 n + 64} + \frac{1294336 n^{2}}{n^{2} + 16 n + 64} + \frac{1835008 n}{n^{2} + 16 n + 64} + \frac{1048576}{n^{2} + 16 n + 64}} - \frac{25 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{2 n^{7}}{n^{2} + 16 n + 64} + \frac{88 n^{6}}{n^{2} + 16 n + 64} + \frac{1608 n^{5}}{n^{2} + 16 n + 64} + \frac{15680 n^{4}}{n^{2} + 16 n + 64} + \frac{87040 n^{3}}{n^{2} + 16 n + 64} + \frac{270336 n^{2}}{n^{2} + 16 n + 64} + \frac{425984 n}{n^{2} + 16 n + 64} + \frac{262144}{n^{2} + 16 n + 64}} + \frac{183 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{2 \left(\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}\right)} - \frac{3 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - \frac{12582912 n^{2}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4194304 n^{2}}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{393216 n^{2}}{\frac{n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{458752 n^{2}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{35840 n^{2}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{8704 n^{2}}{\frac{n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1152 n^{2}}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1600 n^{2}}{\frac{3 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{41 n^{2}}{\frac{6 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{300 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{72960 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{491520 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1916928 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3932160 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3145728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{8 n^{2}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{383 n^{2}}{\frac{2 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{100 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2112 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24320 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{163840 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{638976 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1310720 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1048576 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{255 n^{2}}{4 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{1380 n^{2}}{\frac{12 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{504 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8640 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{76800 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{368640 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{884736 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{786432 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{435 n^{2}}{8 \left(\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{3 n^{2}}{\frac{16 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{544 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7168 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{45056 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{131072 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{131072 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{125 n^{2}}{\frac{8 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{272 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3584 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{22528 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{119 n^{2}}{16 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{12 n^{2}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{9 n^{2}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{92274688 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{92274688 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1048576 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{720896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{32768 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4096 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{131072 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} + \frac{512 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{16384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} - \frac{1664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5076 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79992 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5322240 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67534848 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120324096 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119537664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50331648}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{8}}{n^{2} + 16 n + 64} + \frac{52 n^{7}}{n^{2} + 16 n + 64} + \frac{1156 n^{6}}{n^{2} + 16 n + 64} + \frac{14272 n^{5}}{n^{2} + 16 n + 64} + \frac{106240 n^{4}}{n^{2} + 16 n + 64} + \frac{483328 n^{3}}{n^{2} + 16 n + 64} + \frac{1294336 n^{2}}{n^{2} + 16 n + 64} + \frac{1835008 n}{n^{2} + 16 n + 64} + \frac{1048576}{n^{2} + 16 n + 64}} - \frac{24 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} - \frac{34 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{41943040 n}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{46137344 n}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{5242880 n}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{524288 n}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{65536 n}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{16384 n}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{512 n}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{256 n}{\frac{3 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{204 n}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{144 n}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{30 n}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{3 n}{\frac{8 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{272 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3584 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{22528 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n}{\frac{6 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{204 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2688 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{15 n}{\frac{4 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{136 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1792 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{11264 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{32768 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{32768 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{41 n}{12 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{3 n}{\frac{16 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{416 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3840 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{14336 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16384 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{3 n}{\frac{8 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{208 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7168 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{3 n}{8 \left(\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{12 n}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{6 n}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + 4 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - \frac{67108864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{83886080 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4194304 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{306 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14436 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{417432 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8264448 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118508544 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1269497856 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10325753856 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{64153976832 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{303675998208 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082935738368 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2847160664064 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5321464479744 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6648609374208 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4947802324992 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{262144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{4096 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{262144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{2} + 16 n + 64} + \frac{228 n^{10}}{n^{2} + 16 n + 64} + \frac{7788 n^{9}}{n^{2} + 16 n + 64} + \frac{157536 n^{8}}{n^{2} + 16 n + 64} + \frac{2092032 n^{7}}{n^{2} + 16 n + 64} + \frac{19095552 n^{6}}{n^{2} + 16 n + 64} + \frac{121798656 n^{5}}{n^{2} + 16 n + 64} + \frac{540278784 n^{4}}{n^{2} + 16 n + 64} + \frac{1623195648 n^{3}}{n^{2} + 16 n + 64} + \frac{3120562176 n^{2}}{n^{2} + 16 n + 64} + \frac{3422552064 n}{n^{2} + 16 n + 64} + \frac{1610612736}{n^{2} + 16 n + 64}} + \frac{3584 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5076 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79992 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5322240 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67534848 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120324096 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119537664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50331648}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{128 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{8}}{n^{2} + 16 n + 64} + \frac{156 n^{7}}{n^{2} + 16 n + 64} + \frac{3468 n^{6}}{n^{2} + 16 n + 64} + \frac{42816 n^{5}}{n^{2} + 16 n + 64} + \frac{318720 n^{4}}{n^{2} + 16 n + 64} + \frac{1449984 n^{3}}{n^{2} + 16 n + 64} + \frac{3883008 n^{2}}{n^{2} + 16 n + 64} + \frac{5505024 n}{n^{2} + 16 n + 64} + \frac{3145728}{n^{2} + 16 n + 64}} + \frac{32 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} - \frac{24 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} + \frac{9 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{8 \left(\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}\right)} - \frac{67108864}{\frac{3 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{378 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22356 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{824184 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21211200 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{404393472 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5914202112 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67778740224 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{616392032256 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4475899084800 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25975509221376 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119990246178816 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{437059093266432 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1235481702432768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2643981867417600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4121519336718336 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4393648464592896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2849934139195392 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{844424930131968 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{33554432}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4194304}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{2097152}{\frac{3 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{306 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14436 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{417432 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8264448 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118508544 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1269497856 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10325753856 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{64153976832 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{303675998208 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082935738368 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2847160664064 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5321464479744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6648609374208 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4947802324992 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{65536}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{32768}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4096}{\frac{3 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2048}{\frac{3 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{192}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{16}{3 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{96}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{8}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{1}{\frac{3 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{102 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1344 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8448 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{22}{3 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{1}{\frac{6 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{156 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1440 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5376 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{13}{3 \left(\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{9}{8 \left(n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}\right)}\right)$$
=
$$\lim_{n \to \infty}\left(- \frac{n^{15}}{\frac{12 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1512 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{89424 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3296736 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{84844800 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1617573888 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23656808448 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{271114960896 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2465568129024 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17903596339200 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103902036885504 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{479960984715264 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1748236373065728 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4941926809731072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10575927469670400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16486077346873344 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17574593858371584 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11399736556781568 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3377699720527872 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{708 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39048 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1335984 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31734528 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{554910720 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7389118464 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{76444532736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{621227802624 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3981975748608 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20095212453888 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79218792726528 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{240367844720640 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{548020647100416 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{903798558031872 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1012650209181696 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686095255732224 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{6 n^{14}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{14}}{\frac{12 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1416 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78096 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2671968 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63469056 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1109821440 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14778236928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{152889065472 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1242455605248 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7963951497216 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40190424907776 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{158437585453056 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480735689441280 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1096041294200832 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1807597116063744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2025300418363392 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1372190511464448 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{422212465065984 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{35 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{7 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33768 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1065840 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23207808 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{369248256 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4435132416 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40963473408 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{293520015360 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1633815625728 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7024687448064 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23021293142016 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{56197499584512 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{98440650424320 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{116273354637312 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{82463372083200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26388279066624}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{6205 n^{13}}{\frac{32 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4032 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{238464 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8791296 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{226252800 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4313530368 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63084822528 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{722973229056 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6574848344064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{47742923571200 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277072098361344 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1279895959240704 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4661963661508608 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13178471492616192 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28202473252454400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{43962872924995584 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46865583622324224 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30399297484750848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9007199254740992 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{35 n^{13}}{\frac{6 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{708 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39048 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1335984 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31734528 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{554910720 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7389118464 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{76444532736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{621227802624 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3981975748608 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20095212453888 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79218792726528 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{240367844720640 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{548020647100416 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{903798558031872 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1012650209181696 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686095255732224 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{13}}{\frac{12 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1320 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67536 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2131680 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46415616 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{738496512 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8870264832 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{81926946816 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{587040030720 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3267631251456 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14049374896128 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46042586284032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{112394999169024 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{196881300848640 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{232546709274624 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{164926744166400 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{52776558133248 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{17495 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{48 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5664 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{312384 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10687872 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{253876224 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4439285760 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{59112947712 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{611556261888 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4969822420992 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31855805988864 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{160761699631104 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{633750341812224 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1922942757765120 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4384165176803328 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7230388464254976 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8101201673453568 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5488762045857792 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1688849860263936}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{220 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 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\frac{237017088 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2538995712 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20651507712 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{128307953664 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{607351996416 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2165871476736 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5694321328128 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10642928959488 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13297218748416 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9895604649984 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3298534883328}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3708 n^{12}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{17495 n^{12}}{\frac{96 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11328 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{624768 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21375744 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{507752448 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8878571520 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118225895424 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1223112523776 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9939644841984 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63711611977728 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{321523399262208 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1267500683624448 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3845885515530240 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8768330353606656 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14460776928509952 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16202403346907136 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10977524091715584 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3377699720527872 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{31 n^{12}}{\frac{6 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33768 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1065840 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23207808 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{369248256 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26388279066624 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{12}}{\frac{12 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1224 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57744 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1669728 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33057792 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{474034176 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5077991424 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41303015424 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{256615907328 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1214703992832 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4331742953472 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11388642656256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21285857918976 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26594437496832 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19791209299968 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{160489 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{24 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2832 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{156192 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5343936 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126938112 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2219642880 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{29556473856 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{305778130944 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2484911210496 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15927902994432 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80380849815552 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{316875170906112 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{961471378882560 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2192082588401664 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3615194232127488 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4050600836726784 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2744381022928896 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{844424930131968}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{32523 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{16 n^{16}}{n^{3} + 24 n^{2} + 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+ \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{29808 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1098912 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28281600 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{539191296 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7885602816 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90371653632 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{821856043008 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5967865446400 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{34634012295168 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159986994905088 n^{7} \sqrt{\frac{n}{n + 8} + 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n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10687872 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{253876224 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4439285760 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{59112947712 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{611556261888 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4969822420992 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31855805988864 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{160761699631104 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{633750341812224 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1922942757765120 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4384165176803328 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7230388464254976 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8101201673453568 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5488762045857792 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1688849860263936 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4509 n^{11}}{\frac{32 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3520 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{180096 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5684480 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{123774976 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1969324032 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23654039552 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{218471858176 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1565440081920 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8713683337216 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{37464999723008 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{122780230090752 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{299719997784064 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{525016802263040 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{620124558065664 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{439804651110400 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{140737488355328 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{5 n^{11}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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512} + \frac{6770655232 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{55070687232 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{342154543104 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1619605323776 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5775657271296 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15184856875008 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28381143891968 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35459249995776 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26388279066624 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8796093022208}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{53 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 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\frac{17949523968 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{55993958400 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{121198608384 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{171530256384 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{141733920768 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{51539607552}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{402287 n^{10}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{956753 n^{10}}{\frac{24 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 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n + 512} + \frac{316875170906112 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{961471378882560 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2192082588401664 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3615194232127488 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4050600836726784 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2744381022928896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{844424930131968 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{106381 n^{10}}{\frac{48 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5280 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{270144 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{787525203394560 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{930186837098496 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{659706976665600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4189 n^{10}}{\frac{32 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3264 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{153984 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4452608 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{88154112 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264091136 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13541310464 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110141374464 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{684309086208 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3239210647552 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11551314542592 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30369713750016 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{56762287783936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70918499991552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{52776558133248 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17592186044416 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{23 n^{10}}{\frac{6 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{564 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{639984 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11409024 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145744896 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373036544 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9667215360 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50970230784 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{199590150144 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{569150275584 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1141119123456 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1513975971840 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1185410973696 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{412316860416 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{10}}{\frac{12 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1032 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40464 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{956256 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15168000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{170145792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1384906752 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8255176704 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35899047936 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{111987916800 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{242397216768 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343060512768 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{283467841536 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103079215104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3870691 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{708 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39048 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1335984 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31734528 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{554910720 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7389118464 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{76444532736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{621227802624 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3981975748608 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20095212453888 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79218792726528 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{240367844720640 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{548020647100416 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{903798558031872 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1012650209181696 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686095255732224 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{211106232532992}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4000045 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{12 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1320 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67536 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2131680 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46415616 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{738496512 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8870264832 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{81926946816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{587040030720 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3267631251456 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14049374896128 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46042586284032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{112394999169024 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{196881300848640 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{232546709274624 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{164926744166400 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{52776558133248}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{46907 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{12 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1224 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57744 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1669728 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33057792 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{474034176 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5077991424 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41303015424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{256615907328 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1214703992832 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4331742953472 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11388642656256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21285857918976 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26594437496832 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19791209299968 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{9639 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{752 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32480 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{853312 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15212032 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{194326528 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1830715392 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12889620480 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67960307712 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{266120200192 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{758867034112 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1521492164608 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2018634629120 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1580547964928 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{22 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{5 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{6 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{468 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16488 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346224 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4814208 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46559232 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319979520 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1567752192 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5407506432 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12733906944 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19327352832 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16911433728 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6442450944}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{88 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{10 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{2} + 16 n + 64} + \frac{228 n^{10}}{n^{2} + 16 n + 64} + \frac{7788 n^{9}}{n^{2} + 16 n + 64} + \frac{157536 n^{8}}{n^{2} + 16 n + 64} + \frac{2092032 n^{7}}{n^{2} + 16 n + 64} + \frac{19095552 n^{6}}{n^{2} + 16 n + 64} + \frac{121798656 n^{5}}{n^{2} + 16 n + 64} + \frac{540278784 n^{4}}{n^{2} + 16 n + 64} + \frac{1623195648 n^{3}}{n^{2} + 16 n + 64} + \frac{3120562176 n^{2}}{n^{2} + 16 n + 64} + \frac{3422552064 n}{n^{2} + 16 n + 64} + \frac{1610612736}{n^{2} + 16 n + 64}} - \frac{14630407 n^{9}}{\frac{6 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{44712 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1648368 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42422400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{808786944 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11828404224 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{135557480448 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1232784064512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8951798169600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{51951018442752 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239980492357632 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{874118186532864 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2470963404865536 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5287963734835200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8243038673436672 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8787296929185792 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5699868278390784 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1688849860263936 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{3870691 n^{9}}{\frac{12 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1416 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78096 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2671968 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{63469056 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1109821440 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14778236928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{152889065472 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1242455605248 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7963951497216 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40190424907776 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{158437585453056 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480735689441280 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1096041294200832 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1807597116063744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2025300418363392 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1372190511464448 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{422212465065984 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{531229 n^{9}}{\frac{24 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2640 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{135072 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4263360 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92831232 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1476993024 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17740529664 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{163853893632 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1174080061440 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6535262502912 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92085172568064 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{224789998338048 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{393762601697280 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{465093418549248 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{329853488332800 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{46907 n^{9}}{\frac{24 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2448 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115488 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3339456 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66115584 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{948068352 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10155982848 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{82606030848 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{513231814656 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2429407985664 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8663485906944 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22777285312512 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42571715837952 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53188874993664 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39582418599936 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{7127 n^{9}}{\frac{96 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9024 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{389760 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10239744 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{182544384 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2331918336 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21968584704 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{154675445760 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{815523692544 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3193442402304 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9106404409344 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{18257905975296 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24223615549440 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{18966575579136 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{11 n^{9}}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{n^{9}}{\frac{12 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{936 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32976 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{692448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9628416 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{93118464 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{639959040 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3135504384 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10815012864 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25467813888 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38654705664 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33822867456 n \sqrt{\frac{n}{n 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\frac{3796214218752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7095285972992 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8864812498944 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6597069766656 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2199023255552}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{122155 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{752 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32480 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{853312 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15212032 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{194326528 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1830715392 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12889620480 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67960307712 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{266120200192 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{758867034112 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1521492164608 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+ \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17592186044416 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{145805 n^{8}}{\frac{8 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38496 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1113152 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22038528 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{316022784 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3385327616 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27535343616 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{171077271552 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{809802661888 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2887828635648 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7592428437504 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14190571945984 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17729624997888 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{37589 n^{8}}{\frac{48 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4512 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{194880 n^{12} \sqrt{\frac{n}{n 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\sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9483287789568 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3298534883328 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{2141 n^{8}}{\frac{32 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2752 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{107904 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2550016 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40448000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{453722112 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3693084672 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22013804544 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{95730794496 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{298634444800 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{646392578048 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{914828034048 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{755914244096 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274877906944 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{3 n^{8}}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{n^{8}}{\frac{12 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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512} + \frac{1610612736 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{13534848 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92485120 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1231519744 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12740755456 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103537967104 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{663662624768 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3349202075648 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13203132121088 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40061307453440 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{91336774516736 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{150633093005312 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{168775034863616 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{114349209288704 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35184372088832}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{10120464 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{218060 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{468385 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{4 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{376 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16240 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{426656 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7606016 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{97163264 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{915357696 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6444810240 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33980153856 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{133060100096 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{379433517056 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{760746082304 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1009317314560 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{790273982464 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274877906944}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{15583 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{12 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1032 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40464 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{956256 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15168000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{170145792 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1384906752 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8255176704 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35899047936 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{111987916800 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{242397216768 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343060512768 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{283467841536 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103079215104}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{7409 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{16 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1248 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{43968 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{923264 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12837888 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{124157952 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{853278720 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4180672512 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14420017152 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33957085184 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{51539607552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{45097156608 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17179869184}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{15583 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{17 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{7409 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{4 n^{11}}{n^{2} + 16 n + 64} + \frac{304 n^{10}}{n^{2} + 16 n + 64} + \frac{10384 n^{9}}{n^{2} + 16 n + 64} + \frac{210048 n^{8}}{n^{2} + 16 n + 64} + \frac{2789376 n^{7}}{n^{2} + 16 n + 64} + \frac{25460736 n^{6}}{n^{2} + 16 n + 64} + \frac{162398208 n^{5}}{n^{2} + 16 n + 64} + \frac{720371712 n^{4}}{n^{2} + 16 n + 64} + \frac{2164260864 n^{3}}{n^{2} + 16 n + 64} + \frac{4160749568 n^{2}}{n^{2} + 16 n + 64} + \frac{4563402752 n}{n^{2} + 16 n + 64} + \frac{2147483648}{n^{2} + 16 n + 64}} + \frac{2 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5076 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79992 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5322240 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67534848 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120324096 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119537664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50331648}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{30146688 n^{7}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{6767424 n^{7}}{\frac{n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{92485120 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1231519744 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12740755456 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{629436 n^{7}}{\frac{n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{109030 n^{7}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{116485 n^{7}}{\frac{24 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2256 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{97440 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2559936 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{45636096 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{582979584 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5492146176 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n 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\frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1912512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30336000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{340291584 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2769813504 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16510353408 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{71798095872 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{223975833600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{484794433536 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686121025536 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n 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n^{2} + 192 n + 512} + \frac{28840034304 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67914170368 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{103079215104 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90194313216 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{34359738368 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{17 n^{7}}{\frac{6 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{420 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13128 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{241200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2884608 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{132120576 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{510787584 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1321205760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2164260864 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2013265920 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{805306368 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{33223680 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6508 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{222664 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5289088 n^{13}}{n^{3} + 24 n^{2} + 192 n + 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8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{212471 n^{6}}{\frac{12 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1128 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48720 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1279968 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22818048 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{291489792 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2746073088 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19334430720 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101940461568 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{399180300288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1138300551168 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2282238246912 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3027951943680 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2370821947392 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{824633720832 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{85319 n^{6}}{\frac{24 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2064 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80928 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1912512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{30336000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{340291584 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2769813504 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16510353408 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{71798095872 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{223975833600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{484794433536 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686121025536 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{566935683072 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{7345 n^{6}}{\frac{24 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1872 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{65952 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1384896 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19256832 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186236928 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1279918080 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6271008768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21630025728 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50935627776 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{77309411328 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67645734912 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{3575 n^{6}}{\frac{96 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6720 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210048 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3859200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{46153728 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{375717888 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2113929216 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8172601344 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21139292160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{34628173824 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{32212254720 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12884901888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{7 n^{6}}{\frac{6 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{300 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{72960 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{491520 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1916928 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3932160 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3145728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{n^{6}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{7 n^{6}}{6 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{143478784 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{49499136 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1818368 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1495952 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{21192 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{13845 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{84768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{2} + 16 n + 64} + \frac{84 n^{11}}{n^{2} + 16 n + 64} + \frac{3204 n^{10}}{n^{2} + 16 n + 64} + \frac{73280 n^{9}}{n^{2} + 16 n + 64} + \frac{1117440 n^{8}}{n^{2} + 16 n + 64} + \frac{11943936 n^{7}}{n^{2} + 16 n + 64} + \frac{91521024 n^{6}}{n^{2} + 16 n + 64} + \frac{504889344 n^{5}}{n^{2} + 16 n + 64} + \frac{1981808640 n^{4}}{n^{2} + 16 n + 64} + \frac{5368709120 n^{3}}{n^{2} + 16 n + 64} + \frac{9462349824 n^{2}}{n^{2} + 16 n + 64} + \frac{9663676416 n}{n^{2} + 16 n + 64} + \frac{4294967296}{n^{2} + 16 n + 64}} - \frac{3705 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{8 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{560 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{17504 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{321600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3846144 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31309824 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{176160768 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{681050112 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1761607680 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2885681152 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2684354560 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{55380 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} + \frac{733 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{4 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{248 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6768 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106656 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1069824 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7096320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{31309824 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{90046464 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{160432128 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159383552 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67108864}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{6 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{8}}{n^{2} + 16 n + 64} + \frac{52 n^{7}}{n^{2} + 16 n + 64} + \frac{1156 n^{6}}{n^{2} + 16 n + 64} + \frac{14272 n^{5}}{n^{2} + 16 n + 64} + \frac{106240 n^{4}}{n^{2} + 16 n + 64} + \frac{483328 n^{3}}{n^{2} + 16 n + 64} + \frac{1294336 n^{2}}{n^{2} + 16 n + 64} + \frac{1835008 n}{n^{2} + 16 n + 64} + \frac{1048576}{n^{2} + 16 n + 64}} + \frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} - \frac{62238720 n^{5}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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\sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2756352 n^{5}}{\frac{n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{909184 n^{5}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{106544 n^{5}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{10596 n^{5}}{\frac{n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{8853 n^{5}}{\frac{8 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{624 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21984 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{461632 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6418944 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62078976 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{426639360 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2090336256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7210008576 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16978542592 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22548578304 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{3705 n^{5}}{\frac{16 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1120 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{35008 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{643200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7692288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62619648 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{352321536 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1362100224 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3523215360 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5771362304 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5368709120 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2147483648 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{12 n^{5}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} 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\frac{2}{n + 8}}}{n + 8} + \frac{38400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{184320 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{442368 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{393216 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n^{5}}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n^{5}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 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512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{111984640 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 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\frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1972864 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 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\frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{25152 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{343744 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{43237376 n^{4}}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{5586944 n^{4}}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{937984 n^{4}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{91568 n^{4}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{42968 n^{4}}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1743 n^{4}}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1287 n^{4}}{\frac{2 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{140 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4376 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{80400 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{961536 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7827456 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{44040192 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{170262528 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{440401920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{721420288 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{671088640 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{268435456 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{119 n^{4}}{\frac{24 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1200 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{25344 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{291840 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7667712 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{15728640 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12582912 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{2359 n^{4}}{\frac{16 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{800 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16896 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{194560 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1310720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5111808 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{10485760 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8388608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{20 n^{4}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{1745 n^{4}}{16 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{72 n^{4}}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{15 n^{4}}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n^{4}}{\frac{6 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{204 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2688 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{11 n^{4}}{6 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{25690112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 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n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{12845056 n^{3}}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1458176 n^{3}}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 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8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{40960 n^{3}}{\frac{3 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{306 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14436 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{417432 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8264448 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118508544 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1269497856 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10325753856 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{64153976832 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{303675998208 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082935738368 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2847160664064 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5321464479744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6648609374208 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4947802324992 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{14848 n^{3}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{5632 n^{3}}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1136 n^{3}}{\frac{3 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{456 n^{3}}{\frac{n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2188 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40200 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{480768 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3913728 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22020096 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85131264 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{220200960 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360710144 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{335544320 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134217728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{78 n^{3}}{\frac{12 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{600 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12672 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{145920 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{983040 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3833856 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7864320 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6291456 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{2645 n^{3}}{\frac{8 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{400 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8448 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{97280 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2555904 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5242880 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{4194304 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{199 n^{3}}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{5093 n^{3}}{\frac{48 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2016 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34560 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{307200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1474560 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3538944 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3145728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{119 n^{3}}{\frac{24 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{17280 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{153600 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{737280 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1769472 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{253 n^{3}}{4 \left(\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{n^{3}}{\frac{3 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{102 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1344 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8448 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{50 n^{3}}{3 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{n^{3}}{\frac{6 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{156 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1440 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5376 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{5 n^{3}}{3 \left(\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{8388608 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{11010048 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5}}{n^{3} + 24 n^{2} + 192 n 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\frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1187840 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 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+ 24 n^{2} + 192 n + 512}} + \frac{17920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{69632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{12}}{n^{2} + 16 n + 64} + \frac{84 n^{11}}{n^{2} + 16 n + 64} + \frac{3204 n^{10}}{n^{2} + 16 n + 64} + \frac{73280 n^{9}}{n^{2} + 16 n 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+ \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{71680 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} - \frac{704 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{62 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1692 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{26664 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{267456 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1774080 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7827456 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22511616 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{40108032 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39845888 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16777216}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{30 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{8}}{n^{2} + 16 n + 64} + \frac{52 n^{7}}{n^{2} + 16 n + 64} + \frac{1156 n^{6}}{n^{2} + 16 n + 64} + \frac{14272 n^{5}}{n^{2} + 16 n + 64} + \frac{106240 n^{4}}{n^{2} + 16 n + 64} + \frac{483328 n^{3}}{n^{2} + 16 n + 64} + \frac{1294336 n^{2}}{n^{2} + 16 n + 64} + \frac{1835008 n}{n^{2} + 16 n + 64} + \frac{1048576}{n^{2} + 16 n + 64}} - \frac{25 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{2 n^{7}}{n^{2} + 16 n + 64} + \frac{88 n^{6}}{n^{2} + 16 n + 64} + \frac{1608 n^{5}}{n^{2} + 16 n + 64} + \frac{15680 n^{4}}{n^{2} + 16 n + 64} + \frac{87040 n^{3}}{n^{2} + 16 n + 64} + \frac{270336 n^{2}}{n^{2} + 16 n + 64} + \frac{425984 n}{n^{2} + 16 n + 64} + \frac{262144}{n^{2} + 16 n + 64}} + \frac{183 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{2 \left(\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}\right)} - \frac{3 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}} - \frac{12582912 n^{2}}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4194304 n^{2}}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{393216 n^{2}}{\frac{n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{110 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5628 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{177640 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3867968 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{61541376 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{739188736 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6827245568 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{48920002560 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{272302604288 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1170781241344 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3836882190336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9366249930752 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16406775070720 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19378892439552 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13743895347200 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4398046511104 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{458752 n^{2}}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{35840 n^{2}}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{8704 n^{2}}{\frac{n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{86 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3372 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79688 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1264000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14178816 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{115408896 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{687931392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2991587328 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9332326400 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20199768064 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28588376064 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23622320128 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8589934592 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1152 n^{2}}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1600 n^{2}}{\frac{3 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{41 n^{2}}{\frac{6 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{300 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6336 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{72960 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{491520 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1916928 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3932160 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3145728 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{8 n^{2}}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{383 n^{2}}{\frac{2 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{100 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2112 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24320 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{163840 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{638976 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1310720 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1048576 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{255 n^{2}}{4 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{1380 n^{2}}{\frac{12 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{504 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8640 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{76800 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{368640 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{884736 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{786432 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{435 n^{2}}{8 \left(\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{3 n^{2}}{\frac{16 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{544 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7168 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{45056 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{131072 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{131072 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{125 n^{2}}{\frac{8 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{272 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3584 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{22528 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{119 n^{2}}{16 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{12 n^{2}}{\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{9 n^{2}}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} - \frac{92274688 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{92274688 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{1048576 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{720896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 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\frac{12884901888}{n^{2} + 16 n + 64}} + \frac{512 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{16384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{11}}{n^{2} + 16 n + 64} + \frac{76 n^{10}}{n^{2} + 16 n + 64} + \frac{2596 n^{9}}{n^{2} + 16 n + 64} + \frac{52512 n^{8}}{n^{2} + 16 n + 64} + \frac{697344 n^{7}}{n^{2} + 16 n + 64} + \frac{6365184 n^{6}}{n^{2} + 16 n + 64} + \frac{40599552 n^{5}}{n^{2} + 16 n + 64} + \frac{180092928 n^{4}}{n^{2} + 16 n + 64} + \frac{541065216 n^{3}}{n^{2} + 16 n + 64} + \frac{1040187392 n^{2}}{n^{2} + 16 n + 64} + \frac{1140850688 n}{n^{2} + 16 n + 64} + \frac{536870912}{n^{2} + 16 n + 64}} - \frac{1664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5076 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79992 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5322240 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67534848 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120324096 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119537664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50331648}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{8}}{n^{2} + 16 n + 64} + \frac{52 n^{7}}{n^{2} + 16 n + 64} + \frac{1156 n^{6}}{n^{2} + 16 n + 64} + \frac{14272 n^{5}}{n^{2} + 16 n + 64} + \frac{106240 n^{4}}{n^{2} + 16 n + 64} + \frac{483328 n^{3}}{n^{2} + 16 n + 64} + \frac{1294336 n^{2}}{n^{2} + 16 n + 64} + \frac{1835008 n}{n^{2} + 16 n + 64} + \frac{1048576}{n^{2} + 16 n + 64}} - \frac{24 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} - \frac{34 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} - \frac{41943040 n}{\frac{n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{126 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7452 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274728 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7070400 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{134797824 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1971400704 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22592913408 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{205464010752 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1491966361600 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8658503073792 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39996748726272 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{145686364422144 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{411827234144256 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{881327289139200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1373839778906112 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1464549488197632 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949978046398464 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{281474976710656 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{46137344 n}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{5242880 n}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{524288 n}{\frac{n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{102 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4812 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{139144 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2754816 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39502848 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{423165952 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3441917952 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21384658944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{101225332736 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{360978579456 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{949053554688 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1773821493248 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2216203124736 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{549755813888 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{65536 n}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{16384 n}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{512 n}{\frac{n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{78 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2748 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{57704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{7759872 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{53329920 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{261292032 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{901251072 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2122317824 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2818572288 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1073741824 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{256 n}{\frac{3 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{204 n}{\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{144 n}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{30 n}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{3 n}{\frac{8 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{272 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3584 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{22528 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{n}{\frac{6 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{204 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2688 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{49152 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{15 n}{\frac{4 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{136 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1792 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{11264 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{32768 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{32768 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{41 n}{12 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{3 n}{\frac{16 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{416 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3840 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{14336 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{16384 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{3 n}{\frac{8 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{208 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{7168 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{3 n}{8 \left(\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{12 n}{n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + \frac{6 n}{n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 8 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}} + 4 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} - \frac{67108864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{17}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{83886080 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{16}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4194304 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{15}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{306 n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14436 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{417432 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8264448 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118508544 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1269497856 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10325753856 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{64153976832 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{303675998208 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082935738368 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2847160664064 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5321464479744 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6648609374208 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4947802324992 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{14}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4060 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{106664 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1901504 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{24290816 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{228839424 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1611202560 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8495038464 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{33265025024 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{94858379264 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{190186520576 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{252329328640 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{197568495616 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{68719476736}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{13}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{262144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{12}}{n^{2} + 16 n + 64} + \frac{252 n^{11}}{n^{2} + 16 n + 64} + \frac{9612 n^{10}}{n^{2} + 16 n + 64} + \frac{219840 n^{9}}{n^{2} + 16 n + 64} + \frac{3352320 n^{8}}{n^{2} + 16 n + 64} + \frac{35831808 n^{7}}{n^{2} + 16 n + 64} + \frac{274563072 n^{6}}{n^{2} + 16 n + 64} + \frac{1514668032 n^{5}}{n^{2} + 16 n + 64} + \frac{5945425920 n^{4}}{n^{2} + 16 n + 64} + \frac{16106127360 n^{3}}{n^{2} + 16 n + 64} + \frac{28387049472 n^{2}}{n^{2} + 16 n + 64} + \frac{28991029248 n}{n^{2} + 16 n + 64} + \frac{12884901888}{n^{2} + 16 n + 64}} - \frac{4096 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{262144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{11}}{n^{2} + 16 n + 64} + \frac{228 n^{10}}{n^{2} + 16 n + 64} + \frac{7788 n^{9}}{n^{2} + 16 n + 64} + \frac{157536 n^{8}}{n^{2} + 16 n + 64} + \frac{2092032 n^{7}}{n^{2} + 16 n + 64} + \frac{19095552 n^{6}}{n^{2} + 16 n + 64} + \frac{121798656 n^{5}}{n^{2} + 16 n + 64} + \frac{540278784 n^{4}}{n^{2} + 16 n + 64} + \frac{1623195648 n^{3}}{n^{2} + 16 n + 64} + \frac{3120562176 n^{2}}{n^{2} + 16 n + 64} + \frac{3422552064 n}{n^{2} + 16 n + 64} + \frac{1610612736}{n^{2} + 16 n + 64}} + \frac{3584 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{10}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{186 n^{9}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5076 n^{8}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{79992 n^{7}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{802368 n^{6}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5322240 n^{5}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23482368 n^{4}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67534848 n^{3}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120324096 n^{2}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119537664 n}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{50331648}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{128 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{3 n^{8}}{n^{2} + 16 n + 64} + \frac{156 n^{7}}{n^{2} + 16 n + 64} + \frac{3468 n^{6}}{n^{2} + 16 n + 64} + \frac{42816 n^{5}}{n^{2} + 16 n + 64} + \frac{318720 n^{4}}{n^{2} + 16 n + 64} + \frac{1449984 n^{3}}{n^{2} + 16 n + 64} + \frac{3883008 n^{2}}{n^{2} + 16 n + 64} + \frac{5505024 n}{n^{2} + 16 n + 64} + \frac{3145728}{n^{2} + 16 n + 64}} + \frac{32 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{7}}{n^{2} + 16 n + 64} + \frac{44 n^{6}}{n^{2} + 16 n + 64} + \frac{804 n^{5}}{n^{2} + 16 n + 64} + \frac{7840 n^{4}}{n^{2} + 16 n + 64} + \frac{43520 n^{3}}{n^{2} + 16 n + 64} + \frac{135168 n^{2}}{n^{2} + 16 n + 64} + \frac{212992 n}{n^{2} + 16 n + 64} + \frac{131072}{n^{2} + 16 n + 64}} - \frac{24 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{\frac{n^{5}}{n + 8} + \frac{34 n^{4}}{n + 8} + \frac{448 n^{3}}{n + 8} + \frac{2816 n^{2}}{n + 8} + \frac{8192 n}{n + 8} + \frac{8192}{n + 8}} + \frac{9 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{8 \left(\frac{n^{3}}{n + 8} + \frac{18 n^{2}}{n + 8} + \frac{96 n}{n + 8} + \frac{128}{n + 8}\right)} - \frac{67108864}{\frac{3 n^{18} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{378 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{22356 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{824184 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{21211200 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{404393472 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5914202112 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{67778740224 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{616392032256 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4475899084800 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25975509221376 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{119990246178816 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{437059093266432 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1235481702432768 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2643981867417600 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4121519336718336 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4393648464592896 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2849934139195392 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{844424930131968 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{33554432}{\frac{3 n^{17} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{354 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{19524 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{667992 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{15867264 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{277455360 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3694559232 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{38222266368 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{310613901312 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1990987874304 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10047606226944 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{39609396363264 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120183922360320 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{274010323550208 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{451899279015936 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{506325104590848 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{343047627866112 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{105553116266496 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{4194304}{\frac{3 n^{16} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{330 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{16884 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{532920 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11603904 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{184624128 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2217566208 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{20481736704 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{146760007680 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{816907812864 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3512343724032 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11510646571008 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{28098749792256 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{49220325212160 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{58136677318656 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{41231686041600 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{13194139533312 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{2097152}{\frac{3 n^{15} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{306 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{14436 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{417432 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8264448 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{118508544 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1269497856 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10325753856 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{64153976832 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{303675998208 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082935738368 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2847160664064 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5321464479744 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6648609374208 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4947802324992 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1649267441664 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{65536}{\frac{3 n^{14} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{282 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{12180 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{319992 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{5704512 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{72872448 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{686518272 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{4833607680 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25485115392 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{99795075072 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{284575137792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{570559561728 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{756987985920 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{592705486848 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{206158430208 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{32768}{\frac{3 n^{13} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{258 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{10116 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{239064 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3792000 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{42536448 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{346226688 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2063794176 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8974761984 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{27996979200 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{60599304192 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{85765128192 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{70866960384 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{25769803776 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} - \frac{4096}{\frac{3 n^{12} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{234 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8244 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{173112 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2407104 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{23279616 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{159989760 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{783876096 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{2703753216 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6366953472 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{9663676416 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{8455716864 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{3221225472 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{2048}{\frac{3 n^{11} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{210 n^{10} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{6564 n^{9} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{120600 n^{8} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1442304 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{11741184 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{66060288 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{255393792 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{660602880 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1082130432 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{1006632960 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512} + \frac{402653184 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n^{3} + 24 n^{2} + 192 n + 512}} + \frac{192}{\frac{3 n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{150 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{3168 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{36480 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{245760 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{958464 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1966080 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1572864 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{16}{3 \left(\frac{n^{7} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{50 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1056 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{12160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{81920 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{319488 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{655360 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{524288 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{96}{\frac{3 n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{126 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2160 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{19200 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{92160 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{221184 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{196608 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{8}{\frac{n^{6} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{42 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{720 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6400 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{30720 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{73728 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{65536 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{1}{\frac{3 n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{102 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1344 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8448 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{24576 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} - \frac{22}{3 \left(\frac{n^{5} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{34 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{448 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{2816 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{8192 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} - \frac{1}{\frac{6 n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{156 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1440 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{5376 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{6144 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}} + \frac{13}{3 \left(\frac{n^{4} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{26 n^{3} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{240 n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{896 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8} + \frac{1024 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}}{n + 8}\right)} + \frac{9}{8 \left(n^{2} \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 16 n \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}} + 64 \sqrt{\frac{n}{n + 8} + \frac{2}{n + 8}}\right)}\right)$$
=
$$4$$
Como puedes ver, hemos aplicado el método de l'Hopital (utilizando la derivada del numerador y denominador) 3 vez (veces)
Gráfica
Trazar el gráfico
Otros límites con n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right) = 4$$
$$\lim_{n \to 0^-}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right) = 3$$
Más detalles con n→0 a la izquierda
$$\lim_{n \to 0^+}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right) = 3$$
Más detalles con n→0 a la derecha
$$\lim_{n \to 1^-}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right) = - \frac{3}{7} + \frac{4 \sqrt{3}}{3}$$
Más detalles con n→1 a la izquierda
$$\lim_{n \to 1^+}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right) = - \frac{3}{7} + \frac{4 \sqrt{3}}{3}$$
Más detalles con n→1 a la derecha
$$\lim_{n \to -\infty}\left(4 \sqrt{\frac{n + 2}{n + 8}} + \frac{- 5 n^{2} + \left(8 - 6 n\right)}{8 n^{3} + \left(8 - 9 n\right)}\right) = 4$$
Más detalles con n→-oo
Respuesta rápida [src] 
4
$$4$$
Abrir y simplificar
    © Sr Examen