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 A376392 #13 Sep 22 2024 11:15:30
%S A376392 1,2,16,238,5270,156048,5803980,260301564,13679476864,824735208864,
%T A376392 56125075306656,4256136846770400,355933078611032880,
%U A376392 32544591173495688480,3230049230183020829184,345849932418702558032736,39738632934736396340588160,4877326190739889592547393792
%N A376392 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + log(1-x))^2 ).
%H A376392 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376392 E.g.f. A(x) satisfies A(x) = 1/(1 + log(1 - x*A(x)))^2.
%F A376392 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A367138.
%F A376392 a(n) = (2/(2*n+2)!) * Sum_{k=0..n} (2*n+k+1)! * |Stirling1(n,k)|.
%o A376392 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+log(1-x))^2)/x))
%o A376392 (PARI) a(n) = 2*sum(k=0, n, (2*n+k+1)!*abs(stirling(n, k, 1)))/(2*n+2)!;
%Y A376392 Cf. A052801, A367138.
%K A376392 nonn
%O A376392 0,2
%A A376392 _Seiichi Manyama_, Sep 22 2024