A376806 - OEIS

%I #13 Oct 05 2024 01:54:57

%S 1,3,18,127,957,7497,60229,492483,4079826,34138873,287946771,

%T 2444458878,20863127251,178868929074,1539439262406,13293346718161,

%U 115123998810525,999553370761017,8698196146639573,75845560146124527,662551474429229571,5797239969198654748

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

%H Seiichi Manyama, <a href="/A376806/b376806.txt">Table of n, a(n) for n = 0..1000</a>

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

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

%Y Cf. A376802, A376805.

%Y Cf. A004987.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 04 2024