A362155 Expansion of 1/(1 + x * (1-9*x)^(1/3)).

1, -1, 4, 2, 46, 221, 1627, 11312, 83704, 631433, 4868920, 38137757, 302694082, 2428593929, 19664122513, 160464212831, 1318266144163, 10893680220326, 90486907158265, 755060334587576, 6326283013232206, 53199259567645709, 448846559987031064

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

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

a(n) ~ 3^(2*n-3) / (Gamma(2/3) * n^(4/3)). - Vaclav Kotesovec, Apr 10 2023

Prog

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

Crossrefs

Cf. A039834, A362154.

Cf. A004987, A362157, A362162.

Sequence in context: A120968 A193894 A107667 * A163176 A277306 A201444

Adjacent sequences: A362152 A362153 A362154 * A362156 A362157 A362158

Keyword

sign,easy

Author

Seiichi Manyama, Apr 09 2023

Status

approved