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 A367474 #9 Nov 19 2023 08:22:23
%S A367474 1,4,28,272,3360,50256,881616,17734944,402278496,10155145344,
%T A367474 282329361024,8570500876032,282047266728192,10001430040080384,
%U A367474 380152962804068352,15418451851593596928,664633482628021493760,30342827915683778027520
%N A367474 Expansion of e.g.f. 1 / (1 + 2 * log(1 - x))^2.
%F A367474 a(n) = Sum_{k=0..n} 2^k * (k+1)! * |Stirling1(n,k)|.
%F A367474 a(0) = 1; a(n) = 2*Sum_{k=1..n} (k/n + 1) * (k-1)! * binomial(n,k) * a(n-k).
%o A367474 (PARI) a(n) = sum(k=0, n, 2^k*(k+1)!*abs(stirling(n, k, 1)));
%Y A367474 Cf. A088500, A367475.
%Y A367474 Cf. A052801, A367470.
%K A367474 nonn
%O A367474 0,2
%A A367474 _Seiichi Manyama_, Nov 19 2023