%I #17 Feb 08 2019 04:21:11

%S 1,2,9,1777,63435145,623666451641641,2670266572530016805342641,

%T 7363629673367015952858629874317363281,

%U 18165725639381578540715992641519758891553446152650241,53130688923813417393347555772148839841537612656804852891837024804533761

%N Row sums of A141906.

%H Alois P. Heinz, <a href="/A221177/b221177.txt">Table of n, a(n) for n = 0..20</a>

%F a(n) ~ n^(n^2 - n/2 + 1) / (exp(1/12) * (2*Pi)^((n-1)/2)). - _Vaclav Kotesovec_, Feb 08 2019

%p a:= n-> add((n*m)!/m!^n, m=0..n):

%p seq(a(n), n=0..10); # _Alois P. Heinz_, Jan 09 2013

%t a[n_] := Sum[(n*m)!/m!^n, {m, 0, n}]; Array[a, 10, 0] (* _Jean-François Alcover_, Feb 17 2016 *)

%o (PARI) a(n) = sum(m=0, n, (n*m)!/(m!)^n); \\ _Michel Marcus_, Feb 17 2016

%Y Cf. A141906.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Jan 05 2013