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.

A377454 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^4.

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%I A377454 #8 Oct 29 2024 09:07:12
%S A377454 1,4,56,1384,50216,2422024,146279816,10633540264,904699882856,
%T A377454 88234503004744,9707888368200776,1189726637663987944,
%U A377454 160741241332049376296,23738834426406792534664,3804763374380021378204936,657774175587674349626736424,122016250347540672925706274536
%N A377454 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^4.
%F A377454 E.g.f.: B(x)^4, where B(x) is the e.g.f. of A377451.
%F A377454 a(n) = 4 * Sum_{k=0..n} (5*k+3)!/(4*k+4)! * Stirling2(n,k).
%o A377454 (PARI) a(n) = 4*sum(k=0, n, (5*k+3)!/(4*k+4)!*stirling(n, k, 2));
%Y A377454 Cf. A052895, A377452, A377453.
%Y A377454 Cf. A377451.
%K A377454 nonn
%O A377454 0,2
%A A377454 _Seiichi Manyama_, Oct 28 2024