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 A354674 #8 Jun 02 2022 15:38:26
%S A354674 1,1,33,4568,1653010,1236180194,1657339714418,3620923498508952,
%T A354674 12037504737979759944,57827877567223173191712,
%U A354674 385581993722741959459382352,3454851578510897594456017095504,40509304222426523176427339597382336
%N A354674 a(n) = Sum_{k=0..n} k! * k^(k+n) * |Stirling1(n,k)|.
%F A354674 E.g.f.: Sum_{k>=0} (-k * log(1 - k*x))^k.
%o A354674 (PARI) a(n) = sum(k=0, n, k!*k^(k+n)*abs(stirling(n, k, 1)));
%o A354674 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (-k*log(1-k*x))^k)))
%Y A354674 Cf. A320096, A350721, A350722, A351333, A351769.
%K A354674 nonn
%O A354674 0,3
%A A354674 _Seiichi Manyama_, Jun 02 2022