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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.

A377325 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x))/A(x).

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%I A377325 #10 Oct 25 2024 09:29:02
%S A377325 1,1,1,5,28,244,2566,33438,508544,8926944,176989488,3917823216,
%T A377325 95719041408,2559130965312,74312569125744,2329169772108528,
%U A377325 78371469374088960,2817744760964392704,107807187260426164992,4373419962377871956736,187507942522161269068800
%N A377325 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x))/A(x).
%F A377325 a(n) = Sum_{k=0..floor((n+1)/2)} (n-k)!/(n-2*k+1)! * |Stirling1(n,k)|.
%o A377325 (PARI) a(n) = sum(k=0, (n+1)\2, (n-k)!/(n-2*k+1)!*abs(stirling(n, k, 1)));
%Y A377325 Cf. A052802, A138013, A367159.
%Y A377325 Cf. A365438, A377323.
%K A377325 nonn
%O A377325 0,4
%A A377325 _Seiichi Manyama_, Oct 24 2024