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 A370993 #12 Mar 07 2024 01:32:33
%S A370993 1,0,2,3,80,450,11424,133140,3670400,68303088,2123212320,54742984560,
%T A370993 1938915574848,63653459126400,2565847637273088,101718189575664480,
%U A370993 4637150408792355840,214393171673968519680,10962579011721928980480,577166004742408670937600
%N A370993 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x*log(1-x)) ).
%H A370993 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370993 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} (n+k)! * |Stirling1(n-k,k)|/(n-k)!.
%o A370993 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x*log(1-x)))/x))
%o A370993 (PARI) a(n) = sum(k=0, n\2, (n+k)!*abs(stirling(n-k, k, 1))/(n-k)!)/(n+1);
%Y A370993 Cf. A052802, A370994, A370995.
%Y A370993 Cf. A052830, A370988.
%K A370993 nonn
%O A370993 0,3
%A A370993 _Seiichi Manyama_, Mar 06 2024