Question

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

score 244 · Answer 1 · 2026-05-10 12:35:28

244

Views

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

Published on 10 May 2026 - 12:35

score 185 · Answer 2 · 2026-05-05 15:14:53

185

Views

References/Proof of the conjectured identity for the Stirling permutation number $\left\{{n\atop n-k}\right\}$

Published on 05 May 2026 - 15:14

score 122 · Answer 3 · 2026-04-11 17:21:50

122

Views

Orthogonality of Stirling numbers - simplify a variant thereof

Published on 11 Apr 2026 - 17:21

score 131 · Answer 4 · 2026-04-11 17:37:05

131

Views

An identity involving binomial coefficients and Stirling numbers of both kinds

Published on 11 Apr 2026 - 17:37

score 4.8k · Answer 5 · 2026-04-14 14:06:14

4.8k

Views

how does sqrt(n)/n equal 1/sqrt(n)?

Published on 14 Apr 2026 - 14:06

score 63 · Answer 6 · 2026-04-15 00:08:27

63

Views

How can we write the expansion of $\frac{e^t(e^t-1)^{n-1}}{(e^t+1)^{n+1}}.$

Published on 15 Apr 2026 - 0:08

score 477 · Answer 7 · 2026-04-17 04:03:42

477

Views

Summation of: (binomial coefficients * Stirling numbers of the second kind)

Published on 17 Apr 2026 - 4:03

score 76 · Answer 8 · 2026-04-13 06:30:59

76

Views

Proving Stirling numbers

Published on 13 Apr 2026 - 6:30

score 187 · Answer 9 · 2026-04-16 23:01:40

187

Views

Summation of Stirling numbers of second kind

Published on 16 Apr 2026 - 23:01

score 107 · Answer 10 · 2026-04-13 13:13:24

107

Views

Product of Stirling numbers of second kind

Published on 13 Apr 2026 - 13:13

score 428 · Answer 11 · 2026-04-17 01:12:49

428

Views

Closed form for product of Stirling numbers of the second kind

Published on 17 Apr 2026 - 1:12

score 104 · Answer 12 · 2026-04-16 14:13:15

104

Views

How to write $\left(x\frac{d}{dx}\right)^n $ in terms of Stirling numbers of the first kind?

Published on 16 Apr 2026 - 14:13

score 175 · Answer 13 · 2026-04-17 02:13:24

175

Views

How many partitions of a set $S$ into $K$ different subsets of size $k_1, k_2, k_3,\cdots, k_K$?

Published on 17 Apr 2026 - 2:13

score 301 · Answer 14 · 2026-04-16 10:24:43

301

Views

Show that $p_{n} \geq 1- \exp{(-n(n-1)/730)}$

Published on 16 Apr 2026 - 10:24

score 2.6k · Answer 15 · 2026-04-11 07:02:21

2.6k

Views

Counting Surjections with Inclusion-Exclusion

Published on 11 Apr 2026 - 7:02

List Question

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

References/Proof of the conjectured identity for the Stirling permutation number $\left\{{n\atop n-k}\right\}$

Orthogonality of Stirling numbers - simplify a variant thereof

An identity involving binomial coefficients and Stirling numbers of both kinds

how does sqrt(n)/n equal 1/sqrt(n)?

How can we write the expansion of $\frac{e^t(e^t-1)^{n-1}}{(e^t+1)^{n+1}}.$

Summation of: (binomial coefficients * Stirling numbers of the second kind)

Proving Stirling numbers

Summation of Stirling numbers of second kind

Product of Stirling numbers of second kind

Closed form for product of Stirling numbers of the second kind

How to write $\left(x\frac{d}{dx}\right)^n $ in terms of Stirling numbers of the first kind?

How many partitions of a set $S$ into $K$ different subsets of size $k_1, k_2, k_3,\cdots, k_K$?

Show that $p_{n} \geq 1- \exp{(-n(n-1)/730)}$

Counting Surjections with Inclusion-Exclusion

Trending Questions

Popular # Hahtags

Popular Questions