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 A370992 #12 Mar 07 2024 01:32:12
%S A370992 1,0,0,0,4,10,20,35,5656,55524,352920,1801965,85636540,1762160686,
%T A370992 22992890284,232001269955,6581012518640,197506018950920,
%U A370992 4224661065644016,69931313468126169,1757395269147356340,60785516594782517650,1818493252905482003620
%N A370992 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x^3/6*(exp(x) - 1)) ).
%H A370992 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370992 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} (n+k)! * Stirling2(n-3*k,k)/(6^k * (n-3*k)!).
%o A370992 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x^3/6*(exp(x)-1)))/x))
%o A370992 (PARI) a(n) = sum(k=0, n\4, (n+k)!*stirling(n-3*k, k, 2)/(6^k*(n-3*k)!))/(n+1);
%Y A370992 Cf. A370988, A370991.
%Y A370992 Cf. A353999.
%K A370992 nonn
%O A370992 0,5
%A A370992 _Seiichi Manyama_, Mar 06 2024