%I #23 Nov 24 2023 05:50:53
%S 1,2,3,5,15,137,4393,518625,239478123,455196345315,4054931519864889,
%T 157048983466046778713,33902817175022723879495899,
%U 33209307490198775518644207834495,202452250996395056747517509528867065999
%N Row sums of A187783 and A089759.
%H Tilman Piesk, <a href="/A248827/b248827.txt">Table of n, a(n) for n = 0..53</a>
%F log(a(n)) ~ n^2 * (log(n/2)/4 + 1/(16*log(n))). - _Vaclav Kotesovec_, Nov 24 2023
%e 1 1
%e 1 1 2
%e 1 1 1 3
%e 1 2 1 1 5
%e 1 6 6 1 1 15
%e 1 24 90 20 1 1 137
%t Table[Sum[((n-k)*k)! / (k!)^(n-k), {k, 0, n}], {n, 0, 15}] (* _Vaclav Kotesovec_, Nov 24 2023 *)
%K nonn
%O 0,2
%A _Tilman Piesk_, Oct 28 2014