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.

A375826 E.g.f. satisfies A(x) = 1/(1 - x*A(x))^(x^2).

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%I A375826 #8 Aug 31 2024 08:32:38
%S A375826 1,0,0,6,12,40,1260,11088,99120,1926720,32800320,535328640,
%T A375826 11274642720,259872088320,6108539621184,158608655251200,
%U A375826 4495317057504000,134114095312404480,4253953999500357120,143971794376985272320,5141239842495675340800
%N A375826 E.g.f. satisfies A(x) = 1/(1 - x*A(x))^(x^2).
%F A375826 a(n) = n! * Sum_{k=0..floor(n/3)} (n-2*k+1)^(k-1) * |Stirling1(n-2*k,k)|/(n-2*k)!.
%o A375826 (PARI) a(n) = n!*sum(k=0, n\3, (n-2*k+1)^(k-1)*abs(stirling(n-2*k, k, 1))/(n-2*k)!);
%Y A375826 Cf. A001761, A349559.
%Y A375826 Cf. A375827.
%K A375826 nonn
%O A375826 0,4
%A A375826 _Seiichi Manyama_, Aug 30 2024