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 A370939 #10 Mar 06 2024 07:59:52
%S A370939 1,1,7,93,1848,49194,1646352,66471138,3145730760,170825968008,
%T A370939 10472450056632,715494753359352,53913145327125840,4441896708946850880,
%U A370939 397268517350608957440,38332384702788360859344,3969252425402471222357760,439043217473917940361120000
%N A370939 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + log(1-3*x)/3) ).
%H A370939 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370939 a(n) = (1/(n+1)!) * Sum_{k=0..n} 3^(n-k) * (n+k)! * |Stirling1(n,k)|.
%o A370939 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+log(1-3*x)/3))/x))
%o A370939 (PARI) a(n) = sum(k=0, n, 3^(n-k)*(n+k)!*abs(stirling(n, k, 1)))/(n+1)!;
%Y A370939 Cf. A052802, A370938.
%Y A370939 Cf. A370934, A370937.
%K A370939 nonn
%O A370939 0,3
%A A370939 _Seiichi Manyama_, Mar 06 2024