A376802 - OEIS

%I #15 Oct 05 2024 01:55:04

%S 1,4,31,283,2770,28204,294568,3131650,33732883,367035814,4025600941,

%T 44439461275,493218155119,5498860571026,61543476786067,

%U 691095770653867,7783168304357434,87878978740300960,994484816394177214,11276915136560900662,128106749179069022344

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

%H Seiichi Manyama, <a href="/A376802/b376802.txt">Table of n, a(n) for n = 0..936</a>

%F a(n) = Sum_{k=0..n} (-9)^k * binomial(-1/3,k) * binomial(n+2*k,n-k).

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

%Y Partial sums of A361895.

%Y Cf. A098536, A376803, A376804.

%Y Cf. A376805, A376806.

%Y Cf. A004987.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 04 2024