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.

A377491 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^3.

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%I A377491 #9 Oct 30 2024 08:04:31
%S A377491 1,3,51,1692,85245,5799348,498288327,51799641372,6323803975545,
%T A377491 887056541576820,140606281908386763,24856199282033820396,
%U A377491 4848804928048309664181,1034685331580238018659748,239758404709207383049312239,59955226332194712661373725884
%N A377491 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^3.
%F A377491 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377498.
%F A377491 a(n) = 3 * Sum_{k=0..n} (3*n+4*k+2)!/(3*n+3*k+3)! * Stirling2(n,k).
%o A377491 (PARI) a(n) = 3*sum(k=0, n, (3*n+4*k+2)!/(3*n+3*k+3)!*stirling(n, k, 2));
%Y A377491 Cf. A367162, A377490.
%Y A377491 Cf. A377498.
%K A377491 nonn
%O A377491 0,2
%A A377491 _Seiichi Manyama_, Oct 29 2024