A362835 Expansion of e.g.f. 1/(1 + LambertW(x * log(1-x))).

1, 0, 2, 3, 56, 270, 4704, 43260, 814736, 11356632, 240848640, 4492204200, 108396245088, 2513538490320, 68878522931568, 1896787592514360, 58622475066067200, 1860520458522196800, 64297710768900261888, 2303738717704104464640

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = (-1)^n * n! * Sum_{k=0..floor(n/2)} k^k * Stirling1(n-k,k)/(n-k)!.

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(x*log(1-x)))))

Crossrefs

Cf. A318615, A362836.

Sequence in context: A072871 A041709 A361095 * A371140 A371121 A371227

Adjacent sequences: A362832 A362833 A362834 * A362836 A362837 A362838

Keyword

nonn

Author

Seiichi Manyama, May 05 2023

Status

approved