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.
%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