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 A370988 #13 Mar 07 2024 01:31:29
%S A370988 1,0,2,3,76,425,10326,119077,3158968,57929265,1740086290,44066266541,
%T A370988 1512768107940,48660920528233,1905202422005806,73878129769929045,
%U A370988 3275941116578461936,147981592692778718561,7366814796135956094378,378666415166758834858237
%N A370988 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x*(exp(x) - 1)) ).
%H A370988 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370988 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} (n+k)! * Stirling2(n-k,k)/(n-k)!.
%o A370988 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1-x*(exp(x)-1)))/x))
%o A370988 (PARI) a(n) = sum(k=0, n\2, (n+k)!*stirling(n-k, k, 2)/(n-k)!)/(n+1);
%Y A370988 Cf. A052894, A370989, A370990.
%Y A370988 Cf. A370991, A370992.
%Y A370988 Cf. A052848.
%K A370988 nonn
%O A370988 0,3
%A A370988 _Seiichi Manyama_, Mar 06 2024