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 A372024 #12 Apr 22 2024 12:55:35
%S A372024 1,3,-6,30,-159,939,-5856,37992,-253590,1729758,-12001524,84422244,
%T A372024 -600613998,4313760870,-31233564312,227721316008,-1670358339735,
%U A372024 12317389232475,-91256834358510,678934503248070,-5070123478493727,37990712430826059,-285540106663543128
%N A372024 Expansion of ( (1 + 8*x)/(1 - x) )^(1/3).
%F A372024 a(n) = Sum_{k=0..n} 9^k * binomial(1/3,k) * binomial(n-1,n-k).
%F A372024 a(n) ~ (-1)^(n+1) * 2^(3*n) * Gamma(1/3) / (Pi * 3^(7/6) * n^(4/3)). - _Vaclav Kotesovec_, Apr 16 2024
%F A372024 D-finite with recurrence n*a(n) +(7*n-10)*a(n-1) +8*(-n+2)*a(n-2)=0. - _R. J. Mathar_, Apr 22 2024
%o A372024 (PARI) my(N=30, x='x+O('x^N)); Vec(((1+8*x)/(1-x))^(1/3))
%o A372024 (PARI) a(n) = sum(k=0, n, 9^k*binomial(1/3, k)*binomial(n-1, n-k));
%Y A372024 Cf. A372023.
%K A372024 sign
%O A372024 0,2
%A A372024 _Seiichi Manyama_, Apr 16 2024