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 A367883 #11 Jul 11 2024 13:40:50
%S A367883 1,0,4,12,160,1440,20928,309120,5604352,110896128,2480762880,
%T A367883 60669480960,1625897189376,47158671605760,1475038408015872,
%U A367883 49434699759943680,1768135111433256960,67206058595340779520,2705431746964327759872
%N A367883 Expansion of e.g.f. 1/(1 + x * log(1-2*x)).
%F A367883 a(0) = 1; a(n) = n! * Sum_{k=2..n} 2^(k-1)/(k-1) * a(n-k)/(n-k)!.
%F A367883 a(n) = n! * Sum_{k=0..floor(n/2)} 2^(n-k) * k! * |Stirling1(n-k,k)|/(n-k)!.
%t A367883 With[{nn=20},CoefficientList[Series[1/(1+x Log[1-2x]),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jul 11 2024 *)
%o A367883 (PARI) a(n) = n!*sum(k=0, n\2, 2^(n-k)*k!*abs(stirling(n-k, k, 1))/(n-k)!);
%Y A367883 Cf. A367884.
%K A367883 nonn
%O A367883 0,3
%A A367883 _Seiichi Manyama_, Dec 04 2023