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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.

A373523 Expansion of e.g.f. exp(x * (1 + x^3)^(2/3)).

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%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