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 A376382 #15 Sep 22 2024 11:05:56
%S A376382 1,0,6,9,588,3435,196038,2504271,143382648,3105223155,186676465890,
%T A376382 5932031027703,382522369695876,16267245179116971,1137287705462533758,
%U A376382 60811389044325205695,4631220227358066139248,298002734705467572715491,24748409310987998502582138
%N A376382 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x*(exp(x) - 1))^3 ).
%H A376382 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376382 E.g.f. A(x) satisfies A(x) = 1/(1 - x*A(x) * (exp(x*A(x)) - 1))^3.
%F A376382 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A371273.
%F A376382 a(n) = (3 * n!/(3*n+3)!) * Sum_{k=0..floor(n/2)} (3*n+k+2)! * Stirling2(n-k,k)/(n-k)!.
%o A376382 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x*(exp(x)-1))^3)/x))
%o A376382 (PARI) a(n) = 3*n!*sum(k=0, n\2, (3*n+k+2)!*stirling(n-k, k, 2)/(n-k)!)/(3*n+3)!;
%Y A376382 Cf. A371273, A376383.
%Y A376382 Cf. A375661, A376381.
%K A376382 nonn
%O A376382 0,3
%A A376382 _Seiichi Manyama_, Sep 22 2024