Is there a closed form formula for $\sum\limits_{n=0}^\infty e^{-n^2}$?
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
140462
Find a closed form for the power series $f_p(x)=\sum\limits_{n=0}^\infty\frac{n^p}{n!}x^n$
9610
Find the sum of $\sum\limits_{n=1}^{\infty} \frac{x^{n}}{n(n+1)}$
121617
Closed form of $\sum_{n=0}^{\infty} \frac{\cos(\alpha \, n)}{n!}$
105186
Compute $\sum\limits_{n=0}^{\infty}\frac{{x^n}{z^n}}{n\beta + \alpha}$
88973
How do you calculate this sum $\sum_{n=1}^\infty nx^n$?
126264
Does the series $\sum \limits _{n=0}^{\infty} \cos(n\pi)$ converge or diverge?
113713
Closed formula for the sum of the following series
108605
Identify infinite sum: $\sum\limits_{n=0}^{+\infty}\frac{x^{4n}}{(4n)!}$
54661
How to find the sum $\sum\limits_{n=1}^{\infty}\frac{1}{n!(n^4+n^2+1)}$
19914
Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ (Negative Binomial Theorem)
137155
Sum $ \sum\limits_{k=1}^{\infty} \frac{k^2}{2^k}$
119606
Closed form of summation
107789
Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$
140843
How does one [easily] calculate $\sum\limits_{n=1}^\infty\frac{\mathrm{pop}(n)}{n(n+1)}$?
71240
The limit of a sum $\sum_{k=1}^n \frac{n}{n^2+k^2}$ as $n\rightarrow\infty$
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$