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 A376383 #12 Sep 22 2024 11:06:01
%S A376383 1,0,4,6,368,2170,119712,1542254,86459200,1884526578,111718563680,
%T A376383 3566361530182,227778981600480,9716705596149578,674774811779124448,
%U A376383 36153388845386205150,2740217544109113107072,176542121944523097148642,14610965831419986026094816
%N A376383 Expansion of e.g.f. ( (1/x) * Series_Reversion( x*(1 - x*(exp(x) - 1))^3 ) )^(2/3).
%H A376383 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376383 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A371273.
%F A376383 a(n) = (2 * n!/(3*n+2)!) * Sum_{k=0..floor(n/2)} (3*n+k+1)! * Stirling2(n-k,k)/(n-k)!.
%o A376383 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace((serreverse(x*(1-x*(exp(x)-1))^3)/x)^(2/3)))
%o A376383 (PARI) a(n) = 2*n!*sum(k=0, n\2, (3*n+k+1)!*stirling(n-k, k, 2)/(n-k)!)/(3*n+2)!;
%Y A376383 Cf. A371273, A376382.
%K A376383 nonn
%O A376383 0,3
%A A376383 _Seiichi Manyama_, Sep 22 2024