Evaluate $\sum \frac{2^k}{3^{2^k}+1}$
158616
A closed form for the sum $S = \frac {2}{3+1} + \frac {2^2}{3^2+1} + \cdots + \frac {2^{n+1}}{3^{2^n}+1}$ is ...
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
30518
Formula for $\sum_{k=1}^n \frac{1}{k(k+1)(k+2)}$?
14239
How to show $\sum_{k=0}^{n}\binom{n+k}{k}\frac{1}{2^k}=2^{n}$
103840
Calculate $\sum_{k=1}^n k2^{n-k}$
55061
Evaluating the sum after reordering an infinite series $1-\frac {1} {2}+\frac {1} {3}-\frac {1} {4}+\ldots $
130083
Evaluating sum of a combination series
142985
Finding sum of series $\sum^{\infty}_{k=0}\frac{(k+1)(k+2)}{2^k}$
43509
Evaluating $\sum_{n=1}^{\infty}\frac{(n-1)!}{\prod_{r=1}^{n}(x+r)}$ for $x\in\mathbb{R}^{+}$
99420
Compute $\sum_{n=1}^\infty \frac{1}{(n+1)\sqrt[]{n}+n\sqrt[]{n+1}}$
14223
Find the infinite sum $\sum_{n=1}^{\infty}\frac{1}{2^n-1}$
115420
Evaluate $\sum_{n=1}^{\infty} \frac{n}{n^4+n^2+1}$
16967
Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
135927
Calculating $\sum_{n=1}^\infty\frac{1}{(n-1)!(n+1)}$
127806
How to find the sum of the series $\sum_{k=2}^\infty \frac{1}{k^2-1}$?
132984
$\sum\limits_{k=0}^{\frac{p-1}2}3^k\binom{p}{k}\equiv 2^p-1\pmod{p^2}$