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 A370997 #10 Mar 07 2024 01:33:14
%S A370997 1,0,0,0,4,10,40,210,6944,65520,640800,6837600,157375680,2741618880,
%T A370997 45897895680,783559576800,18503310228480,440531086195200,
%U A370997 10407471103411200,247739364392083200,6801330820818124800,198670207398879283200,5945924796494183424000
%N A370997 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x^3/6*log(1-x)) ).
%H A370997 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370997 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} (n+k)! * |Stirling1(n-3*k,k)|/(6^k * (n-3*k)!).
%o A370997 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x^3/6*log(1-x)))/x))
%o A370997 (PARI) a(n) = sum(k=0, n\4, (n+k)!*abs(stirling(n-3*k, k, 1))/(6^k*(n-3*k)!))/(n+1);
%Y A370997 Cf. A370993, A370996.
%Y A370997 Cf. A351506.
%K A370997 nonn
%O A370997 0,5
%A A370997 _Seiichi Manyama_, Mar 06 2024