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

Author

Seiichi Manyama, Apr 10 2023

Keywords

• sign
• easy

Crossrefs

Cf. A362159.

Programs

PARI

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

Formula

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