What is the sum of the given special series?any specific formula?
35525
Methods to compute $\sum_{k=1}^nk^p$ without Faulhaber's formula
58262
Find the sum of the series $1+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{5}\cdot\frac{1}{4^2}+\frac{1}{7}\cdot\frac{1}{4^3}+\cdots$
141357
Is $1+2+3+4+\cdots=-\frac{1}{12}$ the unique ''value'' of this series?
43320
Find the sum of the power series $\sum_{n=1}^\infty n*(n+1)*x^n$
79415
The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
148970
How to calculate such sums of Legendre symbols?
22636
Find the sum of the series $\sum \limits_{n=1}^{\infty} \frac{2^{-n}(n+3)}{(n+1)(n+2)}$
158737
What is the value of the series $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n^2}$?
25504
How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$
37855
Sums and harmonic series
17056
How to find answer to the sum of series $\sum_{n=1}^{\infty}\frac{n}{2^n} $
32637
What is the sum of this series: $\displaystyle\sum_{n=0}^{\infty} \dfrac{a^n}{(3n)!}$
68853
Is there any formula for the series $1 + \frac12 + \frac13 + \cdots + \frac 1 n = ?$
122445
Sum of the series:$\frac{1}{1\cdot 2}+\frac{1\cdot3}{1\cdot2\cdot3\cdot4}+\cdots$
122236
How to compute the series: $\sum_{n=0}^{\infty} (-1)^{n-1}\binom{1/2}{n}$
33986
Calculate $\sum_{n=1}^{\infty}(\frac{1}{2n}-\frac{1}{n+1}+\frac{1}{2n+4})$
94943
Sum of series with addition: $\sum_{n=1}^\infty \frac{1}{n^2(n+1)}$