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 A376346 #12 Sep 21 2024 07:45:29
%S A376346 1,0,0,0,24,0,0,2520,201600,0,1209600,259459200,16765056000,
%T A376346 1556755200,639307468800,100037089152000,5967179676057600,
%U A376346 2815858805760000,784290778951680000,107737010595422208000,6175610876944244736000,8813187524619878400000,2070195245189633802240000,264886226510800191897600000
%N A376346 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x*log(1-x^3)) ).
%H A376346 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376346 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} (2*n-3*k)! * |Stirling1(k,n-3*k)|/k!.
%o A376346 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x*log(1-x^3)))/x))
%o A376346 (PARI) a(n) = sum(k=0, n\3, (2*n-3*k)!*abs(stirling(k, n-3*k, 1))/k!)/(n+1);
%Y A376346 Cf. A370993, A376344.
%Y A376346 Cf. A375562.
%K A376346 nonn
%O A376346 0,5
%A A376346 _Seiichi Manyama_, Sep 21 2024