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 A376803 #7 Oct 04 2024 14:19:03 %S A376803 1,1,4,13,49,187,736,2941,11908,48682,200584,831712,3466867,14515411, %T A376803 61005634,257238349,1087792225,4611606373,19594364860,83421726877, %U A376803 355801896895,1519998686401,6503081167372,27859917707863,119502218725576,513173645933326 %N A376803 Expansion of 1/((1 - x)^3 - 9*x^2)^(1/3). %F A376803 a(n) = Sum_{k=0..floor(n/2)} (-9)^k * binomial(-1/3,k) * binomial(n+k,n-2*k). %o A376803 (PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)^3-9*x^2)^(1/3)) %Y A376803 Cf. A098536, A376802, A376804. %K A376803 nonn %O A376803 0,3 %A A376803 _Seiichi Manyama_, Oct 04 2024