List questions from stirling-numbers

Published on 20 Sep 2015 - 1:03

182

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Mathematical induction and Stirling numbers

Published on 05 Oct 2015 - 8:16

1.1k

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An identity on Stirling number of the first and the second kind.

Published on 06 Oct 2015 - 15:35

121

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How to give a combinatorial proof for this forumula

Published on 06 Oct 2015 - 17:37

84

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Striling numbers of the first kind $S(m,m-1)$

Published on 06 Oct 2015 - 21:12

45

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Deriving a simple formula for $S(m,2)$

Published on 23 Mar 2026 - 23:31

286

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A combinatorial sum and identity involving Stirling numbers of the second kind

Published on 25 Mar 2026 - 16:30

575

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A sum involving Stirling numbers of the second kind

Published on 23 Mar 2026 - 7:12

266

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Let $s(n,k)$ denote the unsigned Stirling numbers of the first kind. Prove that...

Published on 06 Mar 2026 - 6:28

5.9k

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Stirling number proof, proving that $s(n, n-2) = 2{n\choose3} + 3{n\choose4}$

Published on 07 Nov 2015 - 19:55

898

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Prove by induction that $S(n,3) > 3^{n-2}$ for all $n≥6$

Published on 07 Nov 2015 - 20:21

690

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Let $s(n,k)$ denote the signless Stirling numbers of the first kind. Prove that...

Published on 07 Nov 2015 - 23:05

180

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Show that $S(n ,k)$...

Published on 27 Mar 2026 - 22:51

1.2k

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Closed form of to calculate variation of Pascal's triangle

Published on 10 Nov 2015 - 15:45

297

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Prove the identity $x^n = \sum^{n}_{k=0}S_{n,k}(x)_k$

Published on 22 Mar 2026 - 19:08

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Stirling’s approximation and Big O

Mathematical induction and Stirling numbers

An identity on Stirling number of the first and the second kind.

How to give a combinatorial proof for this forumula

Striling numbers of the first kind $S(m,m-1)$

Deriving a simple formula for $S(m,2)$

A combinatorial sum and identity involving Stirling numbers of the second kind

A sum involving Stirling numbers of the second kind

Let $s(n,k)$ denote the unsigned Stirling numbers of the first kind. Prove that...

Stirling number proof, proving that $s(n, n-2) = 2{n\choose3} + 3{n\choose4}$

Prove by induction that $S(n,3) > 3^{n-2}$ for all $n≥6$

Let $s(n,k)$ denote the signless Stirling numbers of the first kind. Prove that...

Show that $S(n ,k)$...

Closed form of to calculate variation of Pascal's triangle

Prove the identity $x^n = \sum^{n}_{k=0}S_{n,k}(x)_k$

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