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 A372346 #6 Jun 23 2024 16:12:22
%S A372346 1,1,2,6,27,175,1532,17276,243093,4165261,85133686,2039546786,
%T A372346 56447550543,1783865468187,63766726231792,2558290237404920,
%U A372346 114418196763735113,5670168958036693977,309630356618418661738,18536683645526372648446,1211038603734731649106307,85983731724631359047504967
%N A372346 a(n) = Sum_{j=0..n} p(n - j, j) where p(n, x) = Sum_{k=0..n} k! * Stirling2(n, k) * x^k. Row sums of A344499.
%F A372346 a(n) = A094422(n - 1) + 1.
%p A372346 p := n -> local k; add(k!*Stirling2(n, k)*x^k, k = 0..n):
%p A372346 a := n -> local j; add(subs(x = j, p(n - j)), j = 0..n):
%p A372346 seq(a(n), n = 0..21);
%Y A372346 Cf. A344499, A131689, A094422.
%K A372346 nonn
%O A372346 0,3
%A A372346 _Peter Luschny_, Apr 28 2024