An alternative way to find the sum of this series?
23576
Calculating $1+\frac13+\frac{1\cdot3}{3\cdot6}+\frac{1\cdot3\cdot5}{3\cdot6\cdot9}+\frac{1\cdot3\cdot5\cdot7}{3\cdot6\cdot9\cdot12}+\dots? $
157001
Are there clever ways to evaluate this infinite series?
148883
Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
148143
Find the sum to n terms as well as the sum to infinity of the series:
113189
Find the sum of the series $1^2-2^2+3^2-4^2+...-(2n)^2$
52241
Calculate sum of series $\sum \frac{n^2}{n!}$
152227
How to sum this series to infinity: $\sum_{n=0}^{\infty} \frac1{2^{2^n}}$
30895
Compute the sum of the series $\sum_{n=1}^{\infty} \frac{1}{n \cdot 2^n}$
36674
Summation of series $\sum_{n=1}^\infty \frac{n^a}{b^n}$?
28378
Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$
117863
Series $\sum_{n=1}^\infty \frac{n^n}{(n!)^2}$
26446
Find the sum : $\displaystyle\sum_{i=0}^n \frac{2^i}{1+x^{2^{i}}}$
121554
Finding $\sum\frac{1}{2^n(n+1)}$
125148
Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$
93837
How to compute infinite series $\sum_{n=0}^{\infty} ne^{-n}$
35036
Series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^2}$
51146
Sum of Infinite Series $1 + 1/2 + 1/4 + 1/16 + \cdots$