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 A373539 #12 Jun 10 2024 10:01:59
%S A373539 1,1,1,1,-7,-39,-119,841,10641,59473,-393679,-9119439,-77841719,
%T A373539 453247081,17769103353,210702481081,-1002688100959,-65813075987679,
%U A373539 -1022777654395679,3554736409105633,413233827275657241,8091508938651283321,-16214426267734966039
%N A373539 Expansion of e.g.f. exp(x/(1 + x^3)^(1/3)).
%F A373539 a(n) = n! * Sum_{k=0..floor(n/3)} (-1)^k * binomial(n/3-1,k)/(n-3*k)!.
%F A373539 a(n) == 1 mod 8.
%o A373539 (PARI) a(n) = n!*sum(k=0, n\3, (-1)^k*binomial(n/3-1, k)/(n-3*k)!);
%Y A373539 Cf. A012019, A373540.
%Y A373539 Cf. A373517.
%K A373539 sign
%O A373539 0,5
%A A373539 _Seiichi Manyama_, Jun 09 2024