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 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