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.

A377632 E.g.f. satisfies A(x) = 1/(1 - x * A(x)^2 * exp(x*A(x)^2))^2.

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%I A377632 #9 Nov 03 2024 09:32:23
%S A377632 1,2,26,666,26000,1372650,91594812,7398109838,701939170256,
%T A377632 76538939053842,9432015136260500,1296420805666136502,
%U A377632 196648127058577395192,32631136680788714502746,5880120898119055583177756,1143520026572037679360951710,238712613798193658499743637152
%N A377632 E.g.f. satisfies A(x) = 1/(1 - x * A(x)^2 * exp(x*A(x)^2))^2.
%F A377632 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377631.
%F A377632 a(n) = 2 * n! * Sum_{k=0..n} k^(n-k) * binomial(4*n+k+2,k)/( (4*n+k+2)*(n-k)! ).
%o A377632 (PARI) a(n) = 2*n!*sum(k=0, n, k^(n-k)*binomial(4*n+k+2, k)/((4*n+k+2)*(n-k)!));
%Y A377632 Cf. A377629, A377631.
%K A377632 nonn
%O A377632 0,2
%A A377632 _Seiichi Manyama_, Nov 02 2024