A361557 Expansion of e.g.f. exp((exp(x) - 1)/(1-x)).

1, 1, 4, 20, 127, 977, 8789, 90267, 1040260, 13275258, 185653535, 2821321725, 46265262553, 813871304989, 15281792484768, 304949014412540, 6442741397501699, 143633948442619765, 3369004776395733829, 82919378806522132407, 2136425765494805888952

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

a(0) = 1; a(n) = Sum_{k=1..n} A002627(k) * binomial(n-1,k-1) * a(n-k).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((exp(x)-1)/(1-x))))

Crossrefs

Cf. A361532, A361548, A361558.

Cf. A002627.

Sequence in context: A135886 A007550 A361558 * A355167 A080795 A126674

Adjacent sequences: A361554 A361555 A361556 * A361558 A361559 A361560

Keyword

nonn

Author

Seiichi Manyama, Mar 15 2023

Status

approved