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 A373522 #15 Jun 10 2024 10:02:24
%S A373522 1,1,1,1,9,41,121,-279,-1679,1009,259281,1173041,669241,-267141159,
%T A373522 -1295686391,10821721,650092657761,3480768830561,17723446561,
%U A373522 -2911516748764191,-17068971040559639,427036022281,21673592659354854681,137752098937383025481
%N A373522 Expansion of e.g.f. exp(x * (1 + x^3)^(1/3)).
%F A373522 a(n) = n! * Sum_{k=0..floor(n/3)} binomial(n/3-k,k)/(n-3*k)!.
%F A373522 a(n) == 1 mod 8.
%o A373522 (PARI) a(n) = n!*sum(k=0, n\3, binomial(n/3-k, k)/(n-3*k)!);
%Y A373522 Cf. A190875, A373523.
%Y A373522 Cf. A373517.
%K A373522 sign
%O A373522 0,5
%A A373522 _Seiichi Manyama_, Jun 08 2024