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 A371230 #14 Sep 04 2025 14:55:53
%S A371230 1,0,2,3,128,750,29964,377160,15795072,329631120,15001287120,
%T A371230 449174341440,22551082739712,885381886509120,49302509206648320,
%U A371230 2391802812599316480,147728974730632012800,8502972330919072688640,580806950108814502345728
%N A371230 E.g.f. satisfies A(x) = 1 - x*A(x)^3*log(1 - x*A(x)^2).
%F A371230 a(n) = (n!/(2*n+1)!) * Sum_{k=0..floor(n/2)} (2*n+k)! * |Stirling1(n-k,k)|/(n-k)!.
%t A371230 terms=19; A[_]=1; Do[A[x_]= 1 - x*A[x]^3*Log[1 - x*A[x]^2] + O[x]^terms//Normal, terms]; CoefficientList[Series[A[x],{x,0,terms}],x]*Range[0,terms-1]! (* _Stefano Spezia_, Sep 03 2025 *)
%o A371230 (PARI) a(n) = n!*sum(k=0, n\2, (2*n+k)!*abs(stirling(n-k, k, 1))/(n-k)!)/(2*n+1)!;
%Y A371230 Cf. A371227, A371228, A371229.
%Y A371230 Cf. A370993, A371232.
%Y A371230 Cf. A371122.
%K A371230 nonn,changed
%O A371230 0,3
%A A371230 _Seiichi Manyama_, Mar 15 2024