Newbetuts

A closed form of the double sum $\sum_{m=1}^{\infty}\sum_{n=0}^{m-1}\frac{(-1)^{m-n}}{(m^2-n^2)^2} $

What is the closed form for $S=\sum_{n=1}^{\infty} \frac{\sin ({n})}{n!}$?

Proving $\sum_{k=1}^{n}{(-1)^{k+1} {{n}\choose{k}}\frac{1}{k}=H_n}$

show that $\frac{1}{F_{1}}+\frac{2}{F_{2}}+\cdots+\frac{n}{F_{n}}<13$

What do $\{ceps_q\}_{q=0}^Q$ and $\{a_q\}_{q=1}^p$ mean?

Mathematical induction proof problem: $\sum_{i=1}^{n-1} i(i+1) = \frac{n(n+1)(n-1)}3$

Can we express $\pi$ in terms of $\sum_{n=1}^\infty\frac1{n^2}$?

An identity involving Catalan numbers and binomial coefficients.

Is there a closed form for $\sum_{k=0}^n \frac{x^k}{k!}$? [closed]

Simplify a combinatorial sum [duplicate]

How find the sum $\sum_{n=1}^{\infty}\frac{\binom{4n-4}{n-1}}{2^{4n-3}(3n-2)}$

Intuitive reason for why $\left(\displaystyle\sum_{i=0}^n i\right)^2 = \displaystyle\sum_{i=0}^n i^3$ [duplicate]

Sum of an infinite series $(1 - \frac 12) + (\frac 12 - \frac 13) + \cdots$ - not geometric series?

How do we show the equality of these two summations?

Efficient computation of $\sum_{i=1}^{i=\left \lfloor {\sqrt{N}} \right \rfloor}\left \lfloor \frac{N}{i^{2}} \right \rfloor$

Summation of series involving binomial coefficients and polynomial of degree at most n-1

New posts in summation

About the distribution of $\{k(\sqrt{2}-1)\mid k\in \mathbb{N}\}$

An identity satisfied by 'harmonic numbers' [duplicate]

Closed-form of $\sum_{n=0}^\infty\;(-1)^n \frac{\left(2-\sqrt{3}\right)^{2n+1}}{(2n+1)^2\quad}$

Integral $\int^1_0\frac{\ln{x} \ \mathrm{Li}_2(x)}{1-x}dx$

A closed form of the double sum $\sum_{m=1}^{\infty}\sum_{n=0}^{m-1}\frac{(-1)^{m-n}}{(m^2-n^2)^2} $

What is the closed form for $S=\sum_{n=1}^{\infty} \frac{\sin ({n})}{n!}$?

Proving $\sum_{k=1}^{n}{(-1)^{k+1} {{n}\choose{k}}\frac{1}{k}=H_n}$

show that $\frac{1}{F_{1}}+\frac{2}{F_{2}}+\cdots+\frac{n}{F_{n}}<13$

What do $\{ceps_q\}_{q=0}^Q$ and $\{a_q\}_{q=1}^p$ mean?

Mathematical induction proof problem: $\sum_{i=1}^{n-1} i(i+1) = \frac{n(n+1)(n-1)}3$

Can we express $\pi$ in terms of $\sum_{n=1}^\infty\frac1{n^2}$?

An identity involving Catalan numbers and binomial coefficients.

Is there a closed form for $\sum_{k=0}^n \frac{x^k}{k!}$? [closed]

Simplify a combinatorial sum [duplicate]

How find the sum $\sum_{n=1}^{\infty}\frac{\binom{4n-4}{n-1}}{2^{4n-3}(3n-2)}$

Intuitive reason for why $\left(\displaystyle\sum_{i=0}^n i\right)^2 = \displaystyle\sum_{i=0}^n i^3$ [duplicate]

Sum of an infinite series $(1 - \frac 12) + (\frac 12 - \frac 13) + \cdots$ - not geometric series?

How do we show the equality of these two summations?

Efficient computation of $\sum_{i=1}^{i=\left \lfloor {\sqrt{N}} \right \rfloor}\left \lfloor \frac{N}{i^{2}} \right \rfloor$

Summation of series involving binomial coefficients and polynomial of degree at most n-1