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.

A379876 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)) + x*A(x)^3.

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%I A379876 #12 Jan 05 2025 09:58:15
%S A379876 1,0,1,5,53,689,11509,231083,5448841,147483665,4508952641,
%T A379876 153682778435,5778729641629,237643665397241,10610714800698349,
%U A379876 511207317411929339,26434273616510818961,1460296693254659368481,85832214445015447832569,5348490494660467991798003
%N A379876 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)) + x*A(x)^3.
%F A379876 a(n) = -n! * Sum_{k=0..n} (-n-k-1)^(n-k-1) * binomial(n+2*k,k)/(n-k)!.
%o A379876 (PARI) a(n) = -n!*sum(k=0, n, (-n-k-1)^(n-k-1)*binomial(n+2*k, k)/(n-k)!);
%Y A379876 Cf. A379871, A379877, A379878.
%Y A379876 Cf. A377859, A379875.
%K A379876 nonn
%O A379876 0,4
%A A379876 _Seiichi Manyama_, Jan 05 2025