A362162 Expansion of e.g.f. exp(-x * (1-9*x)^(1/3)).

1, -1, 7, 35, 1009, 30179, 1215631, 60016823, 3515979265, 238183128071, 18310183815511, 1574357806379819, 149678991229092337, 15588994684997694635, 1764907186597557771679, 215797860684193053430079, 28338759496501422888009601, 3977749154644186102350453263

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

a(n) = (-1)^n * n! * Sum_{k=0..n} 9^k * binomial((n-k)/3,k)/(n-k)!.

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-x*(1-9*x)^(1/3))))

Crossrefs

Cf. A362159.

Sequence in context: A078235 A364454 A197555 * A028389 A041603 A176543

Adjacent sequences: A362159 A362160 A362161 * A362163 A362164 A362165

Keyword

sign,easy

Author

Seiichi Manyama, Apr 10 2023

Status

approved