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 A370995 #12 Mar 07 2024 01:32:52
%S A370995 1,0,0,0,24,60,240,1260,209664,2056320,20476800,221205600,19370292480,
%T A370995 406935809280,7376151444480,131868581644800,8376837844193280,
%U A370995 282378273124147200,7891890567682867200,207283550601631795200,11520967360247698636800
%N A370995 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x^3*log(1-x)) ).
%H A370995 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370995 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} (n+k)! * |Stirling1(n-3*k,k)|/(n-3*k)!.
%o A370995 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x^3*log(1-x)))/x))
%o A370995 (PARI) a(n) = sum(k=0, n\4, (n+k)!*abs(stirling(n-3*k, k, 1))/(n-3*k)!)/(n+1);
%Y A370995 Cf. A052802, A370993, A370994.
%Y A370995 Cf. A351504.
%K A370995 nonn
%O A370995 0,5
%A A370995 _Seiichi Manyama_, Mar 06 2024