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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.

A373871 a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling2(n,k).

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%I A373871 #10 Jun 20 2024 11:08:31
%S A373871 0,1,2,13,233,8311,495437,44495263,5619239453,949995402271,
%T A373871 207228784973597,56681221280785663,19000392210559326173,
%U A373871 7661410911700580500831,3658694812581483750630557,2042247041839449013948374463,1317554928647608644852032652893
%N A373871 a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling2(n,k).
%F A373871 E.g.f.: Sum_{k>=1} (exp(k*x) - 1)^k / k^3.
%o A373871 (PARI) a(n) = sum(k=1, n, k!*k^(n-3)*stirling(n, k, 2));
%Y A373871 Cf. A373869, A373870, A373872.
%Y A373871 Cf. A122399, A244585, A373873.
%K A373871 nonn
%O A373871 0,3
%A A373871 _Seiichi Manyama_, Jun 20 2024