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 A370938 #8 Mar 06 2024 07:59:57
%S A370938 1,1,6,68,1152,26144,745952,25678512,1036151680,47977039488,
%T A370938 2507929819392,146106188393472,9387670177320960,659534185673994240,
%U A370938 50299364999073742848,4138631751212820025344,365438936930414973419520,34469156894239754317332480
%N A370938 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + log(1-2*x)/2) ).
%H A370938 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370938 a(n) = (1/(n+1)!) * Sum_{k=0..n} 2^(n-k) * (n+k)! * |Stirling1(n,k)|.
%o A370938 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+log(1-2*x)/2))/x))
%o A370938 (PARI) a(n) = sum(k=0, n, 2^(n-k)*(n+k)!*abs(stirling(n, k, 1)))/(n+1)!;
%Y A370938 Cf. A052802, A370939.
%K A370938 nonn
%O A370938 0,3
%A A370938 _Seiichi Manyama_, Mar 06 2024