This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A376806 #13 Oct 05 2024 01:54:57 %S A376806 1,3,18,127,957,7497,60229,492483,4079826,34138873,287946771, %T A376806 2444458878,20863127251,178868929074,1539439262406,13293346718161, %U A376806 115123998810525,999553370761017,8698196146639573,75845560146124527,662551474429229571,5797239969198654748 %N A376806 Expansion of 1/((1 - x^3)^3 - 9*x)^(1/3). %H A376806 Seiichi Manyama, <a href="/A376806/b376806.txt">Table of n, a(n) for n = 0..1000</a> %F A376806 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 A376806 (PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x^3)^3-9*x)^(1/3)) %Y A376806 Cf. A376802, A376805. %Y A376806 Cf. A004987. %K A376806 nonn %O A376806 0,2 %A A376806 _Seiichi Manyama_, Oct 04 2024