Question

Complicated recursion formula, seems similar to Bell numbers?

score 166 · Answer 1 · 2026-04-23 09:15:42

166

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Complicated recursion formula, seems similar to Bell numbers?

Published on 23 Apr 2026 - 9:15

score 68 · Answer 2 · 2026-04-29 12:56:26

68

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How can I find $f(a,b,c)=e^{-c^a/a}\sum\limits_{n=0}^{\infty}\left(\frac{c^a}{a}\right)^{n}\frac{(an)^{b}}{n!}$?

Published on 29 Apr 2026 - 12:56

score 2.6k · Answer 3 · 2026-04-29 12:30:55

2.6k

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How many partitions are there of a 5 element set into 3 parts (of a specific form)?

Published on 29 Apr 2026 - 12:30

score 140 · Answer 4 · 2026-04-29 12:56:13

140

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An $n$ element set can be written as a union of disjoint sets, in $B_n$ different ways. But what if the sets are not disjoint?

Published on 29 Apr 2026 - 12:56

score 516 · Answer 5 · 2026-04-29 12:56:09

516

Views

Exponential generating function for the Bell numbers

Published on 29 Apr 2026 - 12:56

score 341 · Answer 6 · 2026-04-28 20:27:33

341

Views

Number of cycle partition of a set with repeating elements

Published on 28 Apr 2026 - 20:27

score 576 · Answer 7 · 2026-04-27 20:49:53

576

Views

Bell number modulo prime power

Published on 27 Apr 2026 - 20:49

score 426 · Answer 8 · 2026-04-30 13:56:21

426

Views

Calculating large Bell number modulo a composite number

Published on 30 Apr 2026 - 13:56

score 1.1k · Answer 9 · 2026-04-30 07:21:27

1.1k

Views

Partitions of a set with n elements (proof)

Published on 30 Apr 2026 - 7:21

score 127 · Answer 10 · 2026-04-30 08:42:09

127

Views

Computing consecutive $p$ Bell numbers modulo $p$ (a prime)

Published on 30 Apr 2026 - 8:42

score 149 · Answer 11 · 2026-04-30 23:50:18

149

Views

On the period of Bell numbers modulo a prime

Published on 30 Apr 2026 - 23:50

score 87 · Answer 12 · 2026-05-10 12:35:22

87

Views

What is the number of ways to put n distinct balls into n+1 boxes, n of which are identical and the other of which is different?

Published on 10 May 2026 - 12:35

score 96 · Answer 13 · 2026-05-10 12:30:10

96

Views

A Triangle Scheme For Generating Bell Numbers

Published on 10 May 2026 - 12:30

score 71 · Answer 14 · 2026-05-10 12:33:29

71

Views

Alternative representation for $B_{n,k}(1!,\dots,(n-k+1)!)$

Published on 10 May 2026 - 12:33

score 564 · Answer 15 · 2026-05-01 02:25:11

564

Views

Generating function for the number of partitions of [n] without singletons.

Published on 01 May 2026 - 2:25

List Question

Complicated recursion formula, seems similar to Bell numbers?

How can I find $f(a,b,c)=e^{-c^a/a}\sum\limits_{n=0}^{\infty}\left(\frac{c^a}{a}\right)^{n}\frac{(an)^{b}}{n!}$?

How many partitions are there of a 5 element set into 3 parts (of a specific form)?

An $n$ element set can be written as a union of disjoint sets, in $B_n$ different ways. But what if the sets are not disjoint?

Exponential generating function for the Bell numbers

Number of cycle partition of a set with repeating elements

Bell number modulo prime power

Calculating large Bell number modulo a composite number

Partitions of a set with n elements (proof)

Computing consecutive $p$ Bell numbers modulo $p$ (a prime)

On the period of Bell numbers modulo a prime

What is the number of ways to put n distinct balls into n+1 boxes, n of which are identical and the other of which is different?

A Triangle Scheme For Generating Bell Numbers

Alternative representation for $B_{n,k}(1!,\dots,(n-k+1)!)$

Generating function for the number of partitions of [n] without singletons.

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