A362159 Expansion of e.g.f. -exp(x * (1-9*x)^(1/3)).

-1, -1, 5, 71, 1223, 34619, 1350629, 65717315, 3812715311, 256504939703, 19615931258309, 1679703910478879, 159161100818585975, 16530378160682622131, 1867052905777649782373, 227820142193907368696219, 29863924388750996422840799, 4185177460305652712999777135

Offset

0,3

Links

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

Formula

a(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. A362157.

Sequence in context: A064752 A033507 A092250 * A371326 A349471 A347989

Adjacent sequences: A362156 A362157 A362158 * A362160 A362161 A362162

Keyword

sign,easy

Author

Seiichi Manyama, Apr 10 2023

Status

approved