cp's OEIS Frontend

A248827 Row sums of A187783 and A089759.

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