A325138 a(n) = Sum_{k=0..n} Sum_{j=0..n-k} binomial(j+k, k)*|Stirling1(n, j+k)|*(k+1)^j.

1, 2, 8, 45, 320, 2730, 27054, 304584, 3832688, 53233272, 808045560, 13297113720, 235635543912, 4471304008704, 90415029604704, 1940195561267880, 44021278940004480, 1052672670160355520, 26454200168941936704, 696874344218429604480, 19198703924579071278720

Offset: 0

Author

Peter Luschny, Apr 13 2019

Keywords

• nonn

Crossrefs

Row sums of A325137.

Programs

PARI

a(n) = sum(k=0, n, sum(j=0, n-k, binomial(j+k, k)*abs(stirling(n, j+k, 1))*(k+1)^j)); \\ Michel Marcus, Apr 13 2019