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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.

A376802 Expansion of 1/((1 - x)^3 - 9*x)^(1/3).

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%I A376802 #21 May 04 2025 04:25:15
%S A376802 1,4,31,283,2770,28204,294568,3131650,33732883,367035814,4025600941,
%T A376802 44439461275,493218155119,5498860571026,61543476786067,
%U A376802 691095770653867,7783168304357434,87878978740300960,994484816394177214,11276915136560900662,128106749179069022344
%N A376802 Expansion of 1/((1 - x)^3 - 9*x)^(1/3).
%H A376802 Seiichi Manyama, <a href="/A376802/b376802.txt">Table of n, a(n) for n = 0..936</a>
%F A376802 a(n) = Sum_{k=0..n} (-9)^k * binomial(-1/3,k) * binomial(n+2*k,n-k).
%F A376802 a(n) = hypergeom([(1+n)/2, 1+n/2, -n], [2/3, 1], -4/3). - _Stefano Spezia_, May 04 2025
%t A376802 CoefficientList[Series[1/Surd[((1-x)^3-9x),3],{x,0,30}],x] (* _Harvey P. Dale_, Dec 11 2024 *)
%o A376802 (PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)^3-9*x)^(1/3))
%Y A376802 Partial sums of A361895.
%Y A376802 Cf. A098536, A376803, A376804.
%Y A376802 Cf. A376805, A376806.
%Y A376802 Cf. A004987.
%K A376802 nonn
%O A376802 0,2
%A A376802 _Seiichi Manyama_, Oct 04 2024