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 A376804 #7 Oct 04 2024 14:19:07 %S A376804 1,1,1,4,13,31,79,232,673,1891,5401,15742,45958,134122,393394,1159432, %T A376804 3425101,10137985,30079405,89437960,266389615,794667325,2374097485, %U A376804 7102303240,21272892055,63788000461,191471030791,575287348546,1730027151334,5206918491298 %N A376804 Expansion of 1/((1 - x)^3 - 9*x^3)^(1/3). %F A376804 a(n) = Sum_{k=0..floor(n/3)} (-9)^k * binomial(-1/3,k) * binomial(n,n-3*k). %o A376804 (PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)^3-9*x^3)^(1/3)) %Y A376804 Cf. A098536, A376802, A376803. %K A376804 nonn %O A376804 0,4 %A A376804 _Seiichi Manyama_, Oct 04 2024