List questions from closed-form

Published on 26 Jan 2011 - 22:11

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Find the sum $\sum\limits_{k=1}^{2n} (-1)^{k} \cdot k^{2}$

Published on 16 Feb 2011 - 10:36

627

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expression for the sum involving digamma function

Published on 23 Mar 2011 - 7:51

278

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Closed forms of sums $f(a)+f(a+d)+\cdots+f(a+nd)$ with $f$ sine, cosine or tangent

Published on 27 Mar 2011 - 9:17

2.8k

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Closed form for the sequence defined by $a_0=1$ and $a_{n+1} = a_n + a_n^{-1}$

Published on 29 Mar 2011 - 19:00

407

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Power Mean Random Distribution

Published on 01 Apr 2026 - 18:25

451

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Looking for a closed form to determine whether a symbol is part of the ith combination nCr

Published on 31 Mar 2026 - 6:17

985

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Generating Function explicit formula

Published on 09 Apr 2026 - 1:20

140

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Two questions related two series and convergence

Published on 07 May 2011 - 14:25

159.2k

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What is the solution of $\cos(x)=x$?

Published on 26 Mar 2026 - 17:31

900

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A double integral (differentiation under the integral sign)

Published on 25 Jun 2011 - 6:41

699

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Closed-form Expression for $\sum_{j=0}^{k-1}(2j+2)\sum_{i=1}^j \frac 1 {i^2}$? (problem with Mathematica)

Published on 28 Mar 2026 - 16:56

359

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Closed-form solution for this system of ODEs

Published on 25 Mar 2026 - 15:47

19.3k

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Do harmonic numbers have a “closed-form” expression?

Published on 09 Apr 2026 - 8:54

234

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closed form for $d(4)=2$, $d(n+1)=d(n)+n-1$?

Published on 11 Sep 2011 - 14:50

List Question

Closed form for $\sum_{k=0}^{n} \cos( t \sqrt{k} )$?

Find the sum $\sum\limits_{k=1}^{2n} (-1)^{k} \cdot k^{2}$

expression for the sum involving digamma function

Closed forms of sums $f(a)+f(a+d)+\cdots+f(a+nd)$ with $f$ sine, cosine or tangent

Closed form for the sequence defined by $a_0=1$ and $a_{n+1} = a_n + a_n^{-1}$

Power Mean Random Distribution

Looking for a closed form to determine whether a symbol is part of the ith combination nCr

Generating Function explicit formula

Two questions related two series and convergence

What is the solution of $\cos(x)=x$?

A double integral (differentiation under the integral sign)

Closed-form Expression for $\sum_{j=0}^{k-1}(2j+2)\sum_{i=1}^j \frac 1 {i^2}$? (problem with Mathematica)

Closed-form solution for this system of ODEs

Do harmonic numbers have a “closed-form” expression?

closed form for $d(4)=2$, $d(n+1)=d(n)+n-1$?

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