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 A370996 #9 Mar 07 2024 01:33:06
%S A370996 1,0,0,3,6,20,810,6174,49560,1439640,22060080,312487560,8687891520,
%T A370996 199853503200,4216976539776,126706600944000,3771722349158400,
%U A370996 106462579493088000,3626324277349651200,129806833608095575680,4565069619653632320000
%N A370996 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x^2/2*log(1-x)) ).
%H A370996 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370996 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} (n+k)! * |Stirling1(n-2*k,k)|/(2^k * (n-2*k)!).
%o A370996 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x^2/2*log(1-x)))/x))
%o A370996 (PARI) a(n) = sum(k=0, n\3, (n+k)!*abs(stirling(n-2*k, k, 1))/(2^k*(n-2*k)!))/(n+1);
%Y A370996 Cf. A370993, A370997.
%Y A370996 Cf. A351505.
%K A370996 nonn
%O A370996 0,4
%A A370996 _Seiichi Manyama_, Mar 06 2024