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

Author

Seiichi Manyama, Mar 15 2023

Keywords

• nonn

Crossrefs

Cf. A361532, A361548, A361558.

Cf. A002627.

Programs

PARI

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

Formula

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