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 A316145 #16 Nov 22 2021 16:50:44
%S A316145 1,9,106,1823,36821,932080,26666067,876727561,32137538059,
%T A316145 1305168046976,57774609056649,2783202675369037,144453227105110782,
%U A316145 8035192765567735275,476686201707606976317,30053582893540865299197,2005019178999976881804130,141111387620531900621281975
%N A316145 a(n) = Sum_{k=0..n} Stirling2(n,k) * A000041(k) * k^k.
%H A316145 Vaclav Kotesovec, <a href="/A316145/b316145.txt">Table of n, a(n) for n = 1..370</a>
%F A316145 Limit_{n -> infinity} (a(n)/n!)^(1/n) = 1/(log(1+ exp(1)) - 1) = 3.1922192845297391106277924019427161296056687330974482534324... - _Vaclav Kotesovec_, Nov 21 2021
%F A316145 log(a(n) / A316146(n)) ~ (sqrt(2) - 1) * Pi * sqrt(n) / sqrt(3*(1 + exp(1)) * log(1 + exp(-1))). - _Vaclav Kotesovec_, Nov 22 2021
%t A316145 Table[Sum[StirlingS2[n, k] * PartitionsP[k] * k^k, {k, 1, n}], {n, 1, 20}]
%Y A316145 Cf. A167137, A282190, A306022, A316146.
%K A316145 nonn
%O A316145 1,2
%A A316145 _Vaclav Kotesovec_, Jun 25 2018