cp's OEIS Frontend

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.

A380752 E.g.f. A(x) satisfies A(x) = exp(x * A(x)) / (1 - x * A(x)^2)^2.

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%I A380752 #8 Feb 01 2025 08:42:23
%S A380752 1,3,41,1114,46217,2595186,184264033,15839938318,1599772132337,
%T A380752 185698542344050,24362771800087241,3565209717372983142,
%U A380752 575786158331135496313,101729690893078619387914,19518889966696995273600209,4041785999884112498658681406,898403694387449768732923267937
%N A380752 E.g.f. A(x) satisfies A(x) = exp(x * A(x)) / (1 - x * A(x)^2)^2.
%F A380752 a(n) = n! * Sum_{k=0..n} (2*n-k+1)^(k-1) * binomial(5*n-3*k+1,n-k)/k!.
%o A380752 (PARI) a(n) = n!*sum(k=0, n, (2*n-k+1)^(k-1)*binomial(5*n-3*k+1, n-k)/k!);
%Y A380752 Cf. A377745, A380753.
%K A380752 nonn
%O A380752 0,2
%A A380752 _Seiichi Manyama_, Feb 01 2025