oo ____ \ ` \ 4 \ / n \ / t*n*|-------| *n / \4*n - 3/ /___, n = 1
Sum(((t*n)*(n/(4*n - 3))^4)*n, (n, 1, oo))
/ 1215*I*polylog(2, I) 729*I*polylog(3, I) 729*I*polylog(4, I) 729*I*polylog(3, -I) 729*I*polylog(4, -I) 1215*I*polylog(2, -I)\ t*|oo - -------------------- - ------------------- - ------------------- + -------------------- + -------------------- + ---------------------| \ 16384 8192 16384 8192 16384 16384 /
t*(oo - 1215*i*polylog(2, i)/16384 - 729*i*polylog(3, i)/8192 - 729*i*polylog(4, i)/16384 + 729*i*polylog(3, -i)/8192 + 729*i*polylog(4, -i)/16384 + 1215*i*polylog(2, -i)/16384)
x^n/n
(x-1)^n
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
csc(n)^2/n^3
1/n^2
1/n^4
1/n^6
1/n
(-1)^n
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
(-1)^(n + 1)/n*x^n
(3*n - 1)/(-5)^n