A376806 Expansion of 1/((1 - x^3)^3 - 9*x)^(1/3).

1, 3, 18, 127, 957, 7497, 60229, 492483, 4079826, 34138873, 287946771, 2444458878, 20863127251, 178868929074, 1539439262406, 13293346718161, 115123998810525, 999553370761017, 8698196146639573, 75845560146124527, 662551474429229571, 5797239969198654748

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

a(n) = Sum_{k=0..floor(n/3)} (-9)^(n-3*k) * binomial(-1/3,n-3*k) * binomial(3*n-8*k,k).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x^3)^3-9*x)^(1/3))

Crossrefs

Cf. A376802, A376805.

Cf. A004987.

Sequence in context: A073971 A366666 A369940 * A264230 A377106 A369264

Adjacent sequences: A376803 A376804 A376805 * A376807 A376808 A376809

Keyword

nonn

Author

Seiichi Manyama, Oct 04 2024

Status

approved