Límite de la función 2^(-n)*n^n/n

Tenemos la indeterminación de tipo

oo/oo,

tal que el límite para el numerador es
$$\lim_{n \to \infty} n^{n - 1} = \infty$$
y el límite para el denominador es
$$\lim_{n \to \infty} 2^{n} = \infty$$
Vamos a probar las derivadas del numerador y denominador hasta eliminar la indeterminación.
$$\lim_{n \to \infty}\left(\frac{2^{- n} n^{n}}{n}\right)$$
=
Introducimos una pequeña modificación de la función bajo el signo del límite
$$\lim_{n \to \infty}\left(\frac{2^{- n} n^{n}}{n}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} n^{n - 1}}{\frac{d}{d n} 2^{n}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{\log{\left(2 \right)}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} \frac{2^{- n} n^{n - 1}}{\log{\left(2 \right)}}}{\frac{d}{d n} \frac{1}{\log{\left(n \right)} + \frac{n - 1}{n}}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\left(\frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{\log{\left(2 \right)}} - 2^{- n} n^{n - 1}\right) \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)^{2}}{- \frac{2}{n} + \frac{n - 1}{n^{2}}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} \frac{\left(\log{\left(n \right)} + \frac{n - 1}{n}\right)^{2}}{- \frac{2}{n} + \frac{n - 1}{n^{2}}}}{\frac{d}{d n} \frac{1}{\frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{\log{\left(2 \right)}} - 2^{- n} n^{n - 1}}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\left(\frac{\left(- \frac{3}{n^{2}} + \frac{2 \left(n - 1\right)}{n^{3}}\right) \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)^{2}}{\left(- \frac{2}{n} + \frac{n - 1}{n^{2}}\right)^{2}} + \frac{\left(\frac{4}{n} - \frac{2 \left(n - 1\right)}{n^{2}}\right) \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{- \frac{2}{n} + \frac{n - 1}{n^{2}}}\right) \left(\frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{\log{\left(2 \right)}} - 2^{- n} n^{n - 1}\right)^{2}}{- \frac{2^{- n} n^{n - 1} \left(\frac{2}{n} - \frac{n - 1}{n^{2}}\right)}{\log{\left(2 \right)}} - \frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)^{2}}{\log{\left(2 \right)}} + 2 \cdot 2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right) - 2^{- n} n^{n - 1} \log{\left(2 \right)}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{d}{d n} \left(\frac{\left(- \frac{3}{n^{2}} + \frac{2 \left(n - 1\right)}{n^{3}}\right) \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)^{2}}{\left(- \frac{2}{n} + \frac{n - 1}{n^{2}}\right)^{2}} + \frac{\left(\frac{4}{n} - \frac{2 \left(n - 1\right)}{n^{2}}\right) \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{- \frac{2}{n} + \frac{n - 1}{n^{2}}}\right) \left(\frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)}{\log{\left(2 \right)}} - 2^{- n} n^{n - 1}\right)^{2}}{\frac{d}{d n} \left(- \frac{2^{- n} n^{n - 1} \left(\frac{2}{n} - \frac{n - 1}{n^{2}}\right)}{\log{\left(2 \right)}} - \frac{2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right)^{2}}{\log{\left(2 \right)}} + 2 \cdot 2^{- n} n^{n - 1} \left(\log{\left(n \right)} + \frac{n - 1}{n}\right) - 2^{- n} n^{n - 1} \log{\left(2 \right)}\right)}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{4 n^{4} n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{4 n^{4} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{2 n^{4} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{4 n^{4} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{2 n^{4} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{2 n^{4} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{2 n^{4} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{16 n^{3} n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} + \frac{16 n^{3} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{8 n^{3} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{16 n^{3} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{8 n^{3} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n^{3} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{8 n^{3} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{16 n^{2} n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{12 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{2 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{2 n^{2} n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{7} - 3 \cdot 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 2^{2 n} n^{4}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{2 n^{2} n^{2 n}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{28 n^{2} n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{44 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{10 n^{2} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{48 n^{2} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{30 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{18 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{10 n^{2} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{44 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{2 n^{2} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{10 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{2 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{12 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{2 n^{2} n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{12 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{8 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{4 n^{2} n^{2 n}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{18 n^{2} n^{2 n}}{2^{2 n} n^{6} + 2 \cdot 2^{2 n} n^{5} + 2^{2 n} n^{4}} - \frac{12 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} - \frac{4 n^{2} n^{2 n}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{4 n^{2} n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} - \frac{6 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{6 n^{2} n^{2 n}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{2 n^{2} n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{8 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{4 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{4 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{32 n n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{16 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{48 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{32 n n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{32 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{16 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{48 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{32 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{32 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{24 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{4 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{12 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{16 n n^{2 n}}{- 2^{2 n} n^{7} - 3 \cdot 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 2^{2 n} n^{4}} - \frac{16 n n^{2 n}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} - \frac{4 n n^{2 n}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{24 n n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} + \frac{56 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{4 n n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{64 n n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{60 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{64 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{88 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{20 n n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{16 n n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{20 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{4 n n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{32 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{24 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{4 n n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{24 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{16 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{16 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{32 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{8 n n^{2 n}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{36 n n^{2 n}}{2^{2 n} n^{6} + 2 \cdot 2^{2 n} n^{5} + 2^{2 n} n^{4}} + \frac{24 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} - \frac{8 n n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{8 n n^{2 n}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{12 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{4 n n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{12 n n^{2 n}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} + \frac{16 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{8 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{8 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{16 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n^{2 n}}{- 2^{2 n} n^{9} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{8} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{32 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{8} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{24 n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{16 n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{48 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{64 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{18 n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{48 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{32 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{32 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{40 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{40 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{48 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{16 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{12 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{28 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{8 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{12 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{20 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{4 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{8 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{24 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{20 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{4 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{36 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{16 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} + \frac{2 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{8 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{10 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{4 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{4 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n \log{\left(2 \right)} - 2^{2 n} \log{\left(2 \right)}} - \frac{12 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n \log{\left(2 \right)} - 2^{2 n} \log{\left(2 \right)}} - \frac{8 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n \log{\left(2 \right)} - 2^{2 n} \log{\left(2 \right)}} + \frac{8 n^{2 n}}{- 2^{2 n} n^{7} - 3 \cdot 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 2^{2 n} n^{4}} - \frac{16 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{8 n^{2 n}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{8 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{2 n^{2 n}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{8 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 2^{2 n} n} + \frac{12 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 2^{2 n} n} + \frac{2 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 3 \cdot 2^{2 n} n - 2^{2 n}} + \frac{4 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 3 \cdot 2^{2 n} n - 2^{2 n}} + \frac{22 n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{80 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{34 n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{44 n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{112 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{96 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{14 n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{124 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{20 n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{76 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{82 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{34 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{26 n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{128 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{72 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{26 n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{26 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{42 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{14 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{24 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{60 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{70 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{24 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{12 n^{2 n}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{4 n^{2 n} \log{\left(n \right)}^{5}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{8 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{2 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{4 n^{2 n}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{12 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} + \frac{20 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} - \frac{2 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} + \frac{8 n^{2 n}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} - \frac{2 n^{2 n} \log{\left(n \right)}^{5}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{8 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{6 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{24 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{28 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{8 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{26 n^{2 n}}{2^{2 n} n^{6} + 2 \cdot 2^{2 n} n^{5} + 2^{2 n} n^{4}} - \frac{56 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{4 n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{42 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{8 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{26 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{14 n^{2 n}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{2 n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} - \frac{16 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} + \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}^{2}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} + \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} - \frac{4 n^{2 n}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} - \frac{6 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} - \frac{18 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} + \frac{2 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} - \frac{12 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} + \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} + \frac{14 n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{40 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{14 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{28 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{42 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{22 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{60 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{20 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{20 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{20 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{6 n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{44 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{20 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{12 n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{2 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{20 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{4 n^{2 n}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{32 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{12 n^{2 n}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{20 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{8 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{36 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{32 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{8 n^{2 n}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} + \frac{18 n^{2 n}}{- 2^{2 n} n^{5} - 2^{2 n} n^{4}} - \frac{28 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} - 2^{2 n} n^{3}} - \frac{10 n^{2 n}}{- 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{4 n^{2 n} \log{\left(2 \right)}}{- 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{12 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{2 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{12 n^{2 n}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{12 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{2} - 2^{2 n} n} - \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{- 2^{2 n} n^{2} - 2^{2 n} n} + \frac{24 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{2} - 2^{2 n} n} - \frac{4 n^{2 n} \log{\left(2 \right)}}{- 2^{2 n} n^{2} - 2^{2 n} n} + \frac{12 n^{2 n}}{- 2^{2 n} n^{2} - 2^{2 n} n}}{- \frac{2^{- n} n^{n} \log{\left(n \right)}^{3}}{n \log{\left(2 \right)}} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}^{2}}{n \log{\left(2 \right)}} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}^{2}}{n} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n \log{\left(2 \right)}} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(2 \right)} \log{\left(n \right)}}{n} + \frac{6 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(2 \right)}}{n} - \frac{2^{- n} n^{n}}{n \log{\left(2 \right)}} + \frac{2^{- n} n^{n} \log{\left(2 \right)}^{2}}{n} + \frac{3 \cdot 2^{- n} n^{n}}{n} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}^{2}}{n^{2} \log{\left(2 \right)}} - \frac{6 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n^{2}} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n^{2} \log{\left(2 \right)}} - \frac{3 \cdot 2^{- n} n^{n}}{n^{2}} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(2 \right)}}{n^{2}} - \frac{6 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n^{3} \log{\left(2 \right)}} - \frac{2 \cdot 2^{- n} n^{n}}{n^{3} \log{\left(2 \right)}} + \frac{6 \cdot 2^{- n} n^{n}}{n^{3}} + \frac{6 \cdot 2^{- n} n^{n}}{n^{4} \log{\left(2 \right)}}}\right)$$
=
$$\lim_{n \to \infty}\left(\frac{\frac{4 n^{4} n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{4 n^{4} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{2 n^{4} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{4 n^{4} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{2 n^{4} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{2 n^{4} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{2 n^{4} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{16 n^{3} n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} + \frac{16 n^{3} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{8 n^{3} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{16 n^{3} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{8 n^{3} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n^{3} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{8 n^{3} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{16 n^{2} n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{12 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{2 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{2 n^{2} n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{7} - 3 \cdot 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 2^{2 n} n^{4}} + \frac{8 n^{2} n^{2 n}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{2 n^{2} n^{2 n}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{28 n^{2} n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{44 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{10 n^{2} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{48 n^{2} n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{30 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{18 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{10 n^{2} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{44 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{2 n^{2} n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{10 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{2 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{12 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{2 n^{2} n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{12 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{8 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{16 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{4 n^{2} n^{2 n}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{18 n^{2} n^{2 n}}{2^{2 n} n^{6} + 2 \cdot 2^{2 n} n^{5} + 2^{2 n} n^{4}} - \frac{12 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} - \frac{4 n^{2} n^{2 n}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{4 n^{2} n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} - \frac{6 n^{2} n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{6 n^{2} n^{2 n}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{2 n^{2} n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{8 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{4 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{4 n^{2} n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{8 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{4 n^{2} n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{4 n^{2} n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{32 n n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{16 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{48 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{32 n n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{32 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{16 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{48 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{32 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{32 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{24 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{4 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{12 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{16 n n^{2 n}}{- 2^{2 n} n^{7} - 3 \cdot 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 2^{2 n} n^{4}} - \frac{16 n n^{2 n}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} - \frac{4 n n^{2 n}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{24 n n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} + \frac{56 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{4 n n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{64 n n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{60 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{64 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{88 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{20 n n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} + \frac{16 n n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{20 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{4 n n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{32 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{24 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{4 n n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{24 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{16 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{16 n n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{32 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{8 n n^{2 n}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{36 n n^{2 n}}{2^{2 n} n^{6} + 2 \cdot 2^{2 n} n^{5} + 2^{2 n} n^{4}} + \frac{24 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} - \frac{8 n n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{8 n n^{2 n}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{12 n n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{4 n n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{12 n n^{2 n}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} + \frac{16 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} - \frac{8 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{8 n n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{16 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{8 n n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{8 n n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n^{2 n}}{- 2^{2 n} n^{9} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{8} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{32 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{8} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{24 n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{16 n^{2 n}}{- 2^{2 n} n^{8} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{48 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{64 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{18 n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{48 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{7} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{32 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{32 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{40 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{40 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{48 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{16 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{12 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{8 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{28 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{8 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{12 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{20 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{4 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{8 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{24 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{20 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{4 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{36 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{16 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} + \frac{2 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{8 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{10 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{4 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 3 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} - 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{4 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n \log{\left(2 \right)} - 2^{2 n} \log{\left(2 \right)}} - \frac{12 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n \log{\left(2 \right)} - 2^{2 n} \log{\left(2 \right)}} - \frac{8 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} - 3 \cdot 2^{2 n} n \log{\left(2 \right)} - 2^{2 n} \log{\left(2 \right)}} + \frac{8 n^{2 n}}{- 2^{2 n} n^{7} - 3 \cdot 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 2^{2 n} n^{4}} - \frac{16 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{8 n^{2 n}}{- 2^{2 n} n^{6} - 3 \cdot 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{8 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{2 n^{2 n}}{- 2^{2 n} n^{5} - 3 \cdot 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{8 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 2^{2 n} n} + \frac{12 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} - 3 \cdot 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 2^{2 n} n} + \frac{2 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 3 \cdot 2^{2 n} n - 2^{2 n}} + \frac{4 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} - 3 \cdot 2^{2 n} n^{2} - 3 \cdot 2^{2 n} n - 2^{2 n}} + \frac{22 n^{2 n}}{2^{2 n} n^{8} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{80 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{34 n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{44 n^{2 n}}{2^{2 n} n^{7} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{6} \log{\left(2 \right)} + 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{112 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{96 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{14 n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{124 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{20 n^{2 n}}{2^{2 n} n^{6} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{5} \log{\left(2 \right)} + 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{76 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{82 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{34 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{26 n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{128 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{72 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{26 n^{2 n}}{2^{2 n} n^{5} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{4} \log{\left(2 \right)} + 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{26 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{42 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{14 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{24 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{60 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{70 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{24 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{12 n^{2 n}}{2^{2 n} n^{4} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{3} \log{\left(2 \right)} + 2^{2 n} n^{2} \log{\left(2 \right)}} - \frac{4 n^{2 n} \log{\left(n \right)}^{5}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{8 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{2 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{4 n^{2 n}}{2^{2 n} n^{3} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{12 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} + \frac{20 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} - \frac{2 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} + \frac{8 n^{2 n}}{2^{2 n} n^{3} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n^{2} \log{\left(2 \right)} + 2^{2 n} n \log{\left(2 \right)}} - \frac{2 n^{2 n} \log{\left(n \right)}^{5}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} - \frac{8 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} \log{\left(2 \right)}^{2} + 2 \cdot 2^{2 n} n \log{\left(2 \right)}^{2} + 2^{2 n} \log{\left(2 \right)}^{2}} + \frac{6 n^{2 n} \log{\left(n \right)}^{4}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{24 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{28 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{8 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{2} \log{\left(2 \right)} + 2 \cdot 2^{2 n} n \log{\left(2 \right)} + 2^{2 n} \log{\left(2 \right)}} + \frac{26 n^{2 n}}{2^{2 n} n^{6} + 2 \cdot 2^{2 n} n^{5} + 2^{2 n} n^{4}} - \frac{56 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{4 n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{5} + 2 \cdot 2^{2 n} n^{4} + 2^{2 n} n^{3}} + \frac{42 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{8 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{26 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{14 n^{2 n}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} + \frac{2 n^{2 n} \log{\left(2 \right)}}{2^{2 n} n^{4} + 2 \cdot 2^{2 n} n^{3} + 2^{2 n} n^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} - \frac{16 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} + \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}^{2}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} + \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} - \frac{4 n^{2 n}}{2^{2 n} n^{3} + 2 \cdot 2^{2 n} n^{2} + 2^{2 n} n} - \frac{6 n^{2 n} \log{\left(n \right)}^{3}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} - \frac{18 n^{2 n} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} + \frac{2 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}^{2}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} - \frac{12 n^{2 n} \log{\left(n \right)}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} + \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{2^{2 n} n^{2} + 2 \cdot 2^{2 n} n + 2^{2 n}} + \frac{14 n^{2 n}}{- 2^{2 n} n^{7} \log{\left(2 \right)}^{2} - 2^{2 n} n^{6} \log{\left(2 \right)}^{2}} - \frac{40 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} - \frac{14 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)}^{2} - 2^{2 n} n^{5} \log{\left(2 \right)}^{2}} + \frac{28 n^{2 n}}{- 2^{2 n} n^{6} \log{\left(2 \right)} - 2^{2 n} n^{5} \log{\left(2 \right)}} + \frac{42 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} + \frac{22 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)}^{2} - 2^{2 n} n^{4} \log{\left(2 \right)}^{2}} - \frac{60 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{20 n^{2 n}}{- 2^{2 n} n^{5} \log{\left(2 \right)} - 2^{2 n} n^{4} \log{\left(2 \right)}} - \frac{20 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{20 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{6 n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)}^{2} - 2^{2 n} n^{3} \log{\left(2 \right)}^{2}} + \frac{44 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{20 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} - \frac{12 n^{2 n}}{- 2^{2 n} n^{4} \log{\left(2 \right)} - 2^{2 n} n^{3} \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{2 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{20 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{10 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} + \frac{4 n^{2 n}}{- 2^{2 n} n^{3} \log{\left(2 \right)}^{2} - 2^{2 n} n^{2} \log{\left(2 \right)}^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{32 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{12 n^{2 n}}{- 2^{2 n} n^{3} \log{\left(2 \right)} - 2^{2 n} n^{2} \log{\left(2 \right)}} + \frac{4 n^{2 n} \log{\left(n \right)}^{4}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{16 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{20 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} + \frac{8 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{2} \log{\left(2 \right)}^{2} - 2^{2 n} n \log{\left(2 \right)}^{2}} - \frac{12 n^{2 n} \log{\left(n \right)}^{3}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{36 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{32 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} - \frac{8 n^{2 n}}{- 2^{2 n} n^{2} \log{\left(2 \right)} - 2^{2 n} n \log{\left(2 \right)}} + \frac{18 n^{2 n}}{- 2^{2 n} n^{5} - 2^{2 n} n^{4}} - \frac{28 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{4} - 2^{2 n} n^{3}} - \frac{10 n^{2 n}}{- 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{4 n^{2 n} \log{\left(2 \right)}}{- 2^{2 n} n^{4} - 2^{2 n} n^{3}} + \frac{12 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{2 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} - \frac{12 n^{2 n}}{- 2^{2 n} n^{3} - 2^{2 n} n^{2}} + \frac{12 n^{2 n} \log{\left(n \right)}^{2}}{- 2^{2 n} n^{2} - 2^{2 n} n} - \frac{4 n^{2 n} \log{\left(2 \right)} \log{\left(n \right)}}{- 2^{2 n} n^{2} - 2^{2 n} n} + \frac{24 n^{2 n} \log{\left(n \right)}}{- 2^{2 n} n^{2} - 2^{2 n} n} - \frac{4 n^{2 n} \log{\left(2 \right)}}{- 2^{2 n} n^{2} - 2^{2 n} n} + \frac{12 n^{2 n}}{- 2^{2 n} n^{2} - 2^{2 n} n}}{- \frac{2^{- n} n^{n} \log{\left(n \right)}^{3}}{n \log{\left(2 \right)}} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}^{2}}{n \log{\left(2 \right)}} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}^{2}}{n} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n \log{\left(2 \right)}} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(2 \right)} \log{\left(n \right)}}{n} + \frac{6 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n} - \frac{3 \cdot 2^{- n} n^{n} \log{\left(2 \right)}}{n} - \frac{2^{- n} n^{n}}{n \log{\left(2 \right)}} + \frac{2^{- n} n^{n} \log{\left(2 \right)}^{2}}{n} + \frac{3 \cdot 2^{- n} n^{n}}{n} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}^{2}}{n^{2} \log{\left(2 \right)}} - \frac{6 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n^{2}} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n^{2} \log{\left(2 \right)}} - \frac{3 \cdot 2^{- n} n^{n}}{n^{2}} + \frac{3 \cdot 2^{- n} n^{n} \log{\left(2 \right)}}{n^{2}} - \frac{6 \cdot 2^{- n} n^{n} \log{\left(n \right)}}{n^{3} \log{\left(2 \right)}} - \frac{2 \cdot 2^{- n} n^{n}}{n^{3} \log{\left(2 \right)}} + \frac{6 \cdot 2^{- n} n^{n}}{n^{3}} + \frac{6 \cdot 2^{- n} n^{n}}{n^{4} \log{\left(2 \right)}}}\right)$$
=
$$\infty$$
Como puedes ver, hemos aplicado el método de l'Hopital (utilizando la derivada del numerador y denominador) 4 vez (veces)