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 A370990 #11 Mar 07 2024 01:31:51
%S A370990 1,0,0,0,24,60,120,210,201936,1996344,12701520,64865790,17053788840,
%T A370990 374788816116,4944496679304,50034166184730,6390396135006240,
%U A370990 239770550508132720,5363062998193560096,89908444484550625014,7402557588108228698040
%N A370990 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x^3*(exp(x) - 1)) ).
%H A370990 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370990 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} (n+k)! * Stirling2(n-3*k,k)/(n-3*k)!.
%o A370990 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x^3*(exp(x)-1)))/x))
%o A370990 (PARI) a(n) = sum(k=0, n\4, (n+k)!*stirling(n-3*k, k, 2)/(n-3*k)!)/(n+1);
%Y A370990 Cf. A052894, A370988, A370989.
%Y A370990 Cf. A358014.
%K A370990 nonn
%O A370990 0,5
%A A370990 _Seiichi Manyama_, Mar 06 2024