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 A371302 #14 Mar 18 2024 12:00:55
%S A371302 1,0,0,6,12,40,1620,13608,117600,2924640,49603680,782147520,
%T A371302 19083936960,463369645440,10836652514688,304533583200000,
%U A371302 9218842256332800,281872333420554240,9421579421176089600,338543319734116116480,12590519274541116518400
%N A371302 E.g.f. satisfies A(x) = 1/(1 + x^2*log(1 - x*A(x))).
%F A371302 a(n) = n! * Sum_{k=0..floor(n/3)} (n-k)! * |Stirling1(n-2*k,k)|/( (n-2*k)! * (n-2*k+1)! ).
%o A371302 (PARI) a(n) = n!*sum(k=0, n\3, (n-k)!*abs(stirling(n-2*k, k, 1))/((n-2*k)!*(n-2*k+1)!));
%Y A371302 Cf. A370994, A371118, A371138.
%Y A371302 Cf. A351503.
%K A371302 nonn
%O A371302 0,4
%A A371302 _Seiichi Manyama_, Mar 18 2024