New posts in Summation Method

A summation similar to Vandermonde identity

A summation identity

Finding the Sum of series $S = \sum_{n=1}^{243} \frac{1}{n^{4/5}} $.

A closed form for $\sum_{k=0}^n \frac{ (-1)^k {n \choose k}^2}{k+1}$

On proving that $\sum\limits_{n=1}^\infty \frac{n^{13}}{e^{2\pi n}-1}=\frac 1{24}$

Solving equations of nested sums.

Approximation of a summation by an integral

How does one get that $1^3+2^3+3^3+4^3+\cdots=\frac{1}{120}$?