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.

A377427 E.g.f. satisfies A(x) = 1/(1 + log(1 - x*A(x)^2))^2.

This page as a plain text file.
%I A377427 #8 Oct 28 2024 08:43:29
%S A377427 1,2,24,574,20950,1034588,64592556,4881978904,433485612000,
%T A377427 44236604978112,5102049359506176,656355318561027072,
%U A377427 93184708368255490896,14472905373087118415040,2441090221004851173202080,444344375119629711627403776,86822659466273927313499224192
%N A377427 E.g.f. satisfies A(x) = 1/(1 + log(1 - x*A(x)^2))^2.
%F A377427 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377426.
%F A377427 a(n) = (2/(4*n+2)!) * Sum_{k=0..n} (4*n+k+1)! * |Stirling1(n,k)|.
%o A377427 (PARI) a(n) = 2*sum(k=0, n, (4*n+k+1)!*abs(stirling(n, k, 1)))/(4*n+2)!;
%Y A377427 Cf. A377426, A377429.
%Y A377427 Cf. A376392.
%K A377427 nonn
%O A377427 0,2
%A A377427 _Seiichi Manyama_, Oct 28 2024