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 A376293 #11 Sep 19 2024 11:06:29
%S A376293 1,0,0,0,24,60,120,210,161616,1633464,10584720,54886590,10785520680,
%T A376293 243865703796,3309354530664,34340235932730,3229131046905120,
%U A376293 123251776925401200,2846181122195004576,49221175229381943414,3060186440577720774840
%N A376293 E.g.f. satisfies A(x) = 1 + (x*A(x))^3 * (exp(x*A(x)) - 1).
%H A376293 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376293 a(n) = (n!)^2 * Sum_{k=0..floor(n/4)} Stirling2(n-3*k,k)/( (n-3*k)! * (n-k+1)! ).
%F A376293 E.g.f.: (1/x) * Series_Reversion( x/(1 + x^3*(exp(x) - 1)) ).
%o A376293 (PARI) a(n) = n!^2*sum(k=0, n\4, stirling(n-3*k, k, 2)/((n-3*k)!*(n-k+1)!));
%Y A376293 Cf. A000272, A371119, A371139.
%K A376293 nonn
%O A376293 0,5
%A A376293 _Seiichi Manyama_, Sep 19 2024