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 A368233 #12 Sep 02 2025 12:50:17
%S A368233 1,3,17,146,1668,23834,408614,8173248,186836952,4804906656,
%T A368233 137297982672,4315550336448,147977856835440,5496919791479856,
%U A368233 219900767818247952,9425346313165808064,430919959212816772608,20932680398362302305664
%N A368233 Expansion of e.g.f. 1/(1 - 2*x - log(1 + x)).
%F A368233 a(0) = 1; a(n) = 2*n*a(n-1) + Sum_{k=1..n} (-1)^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%t A368233 With[{nn=20},CoefficientList[Series[1/(1-2x-Log[1+x]),{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Sep 02 2025 *)
%o A368233 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*i*v[i]+sum(j=1, i, (-1)^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A368233 Cf. A006252, A368232.
%Y A368233 Cf. A001792.
%K A368233 nonn,changed
%O A368233 0,2
%A A368233 _Seiichi Manyama_, Dec 18 2023