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 A376347 #13 Sep 21 2024 07:44:58
%S A376347 1,0,0,0,24,0,0,2520,201600,0,604800,259459200,16765056000,259459200,
%T A376347 406832025600,100037089152000,5963169474662400,844757641728000,
%U A376347 560207699251200000,107716905363549081600,6157546579533533184000,3525275009847951360000,1582967914636148232192000,264668100119565849907200000
%N A376347 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x*(exp(x^3) - 1)) ).
%H A376347 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376347 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} (2*n-3*k)! * Stirling2(k,n-3*k)/k!.
%o A376347 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x*(exp(x^3)-1)))/x))
%o A376347 (PARI) a(n) = sum(k=0, n\3, (2*n-3*k)!*stirling(k, n-3*k, 2)/k!)/(n+1);
%Y A376347 Cf. A370988, A376345.
%Y A376347 Cf. A370928, A375589.
%K A376347 nonn
%O A376347 0,5
%A A376347 _Seiichi Manyama_, Sep 21 2024