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 A373523 #16 Jun 10 2024 10:02:31 %S A373523 1,1,1,1,17,81,241,1,5601,62497,518561,313281,3999601,-40669199, %T A373523 2177551377,7318933441,397613245121,-1411251083199,9245424513601, %U A373523 -1554110065897343,8222970963680721,2117868896399761,11780583339147607601,-55331596875625839999 %N A373523 Expansion of e.g.f. exp(x * (1 + x^3)^(2/3)). %F A373523 a(n) = n! * Sum_{k=0..floor(n/3)} binomial(2*n/3-2*k,k)/(n-3*k)!. %F A373523 a(n) == 1 mod 16. %o A373523 (PARI) a(n) = n!*sum(k=0, n\3, binomial(2*n/3-2*k, k)/(n-3*k)!); %Y A373523 Cf. A190875, A373522. %Y A373523 Cf. A373518. %K A373523 sign %O A373523 0,5 %A A373523 _Seiichi Manyama_, Jun 08 2024