New posts in Summation

Convergence of integral and summation for Time taken for complete revolution around vertical circle

A sum involving a binomial

Showing $\sum_{k=1}^{n}k(k+1)(k+2)\cdots(k+r) = \frac{n(n+1)(n+2)\cdots(n+r+1)}{r+2}$

Find the sum: $\sum_{n=0}^\infty \frac{(n!)^2}{(2n)!}x^n$

Limiting Sum including Stirling numbers

Is this identity trivial? $n^n=n!+\sum_{k=1}^{n-1}(-1)^{k+1}\binom{n}{k}(n-k)^n$

Combinatorics Problem on proving that a particular sum is 0

Is there a closed form for this recursion equation?

$ \sum_{i=1}^{10} x_i =5 $, and $ \sum_{i=1}^{10} x_i^2 =6.1 $ ; Find the largest value of these ten numbers

Prove this formula $\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}= 1+\sum_{n=1}^{+\infty}r^{n}\cos\left(nx\right)$