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 A377438 #39 Nov 05 2024 03:12:29
%S A377438 1,0,4,6,136,660,13668,128520,2846240,41368320,1021615920,20260896480,
%T A377438 564541372800,14159468157120,445236762450816,13446791658256320,
%U A377438 474901138629918720,16708336544212992000,658279512232521209856,26360704394322974161920,1150065728368040063784960
%N A377438 E.g.f. satisfies A(x) = (1 - x * log(1 - x) * A(x))^2.
%F A377438 E.g.f.: 4/(1 + sqrt(1 + 4*x*log(1-x)))^2.
%F A377438 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A371140.
%F A377438 a(n) = 2 * n! * Sum_{k=0..floor(n/2)} (2*k+1)! * |Stirling1(n-k,k)|/( (n-k)! * (k+2)! ).
%o A377438 (PARI) a(n) = 2*n!*sum(k=0, n\2, (2*k+1)!*abs(stirling(n-k, k, 1))/((n-k)!*(k+2)!));
%Y A377438 Cf. A052830, A377691.
%Y A377438 Cf. A371140.
%K A377438 nonn
%O A377438 0,3
%A A377438 _Seiichi Manyama_, Nov 04 2024