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.

A365010 E.g.f. satisfies A(x) = 1 + x*exp(-x)*A(x)^3.

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%I A365010 #14 Aug 16 2023 12:03:33
%S A365010 1,1,4,39,596,12365,324714,10329655,386190328,16597810233,
%T A365010 806356830230,43700423019011,2613919719004692,171053575111641157,
%U A365010 12156558707970920866,932424974682447304815,76772968644326739801584,6754080601542663692950769
%N A365010 E.g.f. satisfies A(x) = 1 + x*exp(-x)*A(x)^3.
%F A365010 a(n) = n! * Sum_{k=0..n} (-k)^(n-k) * A001764(k)/(n-k)!.
%p A365010 A365010 := proc(n)
%p A365010     add( (-k)^(n-k)*A001764(k)/(n-k)!,k=0..n) ;
%p A365010     %*n! ;
%p A365010 end proc:
%p A365010 seq(A365010(n),n=0..80); # _R. J. Mathar_, Aug 16 2023
%o A365010 (PARI) a(n) = n!*sum(k=0, n, (-k)^(n-k)*binomial(3*k, k)/((2*k+1)*(n-k)!));
%Y A365010 Cf. A295239, A302397, A365011.
%Y A365010 Cf. A001764, A364983.
%K A365010 nonn
%O A365010 0,3
%A A365010 _Seiichi Manyama_, Aug 15 2023