%I #3 Mar 31 2012 10:22:03
%S 1,4,4320,11496038400,291948240981196800000,
%T 190982059064777562218142105600000000,
%U 7081230833474514688657438735472338312479375360000000000
%N a(n) = n! (2*sum(1..n-1))!.
%C Number of distinct n x n matrices containing n^2 different elements which have that same trace.
%t Table[n! (2*Sum[x, {x, 1, n - 1}])!, {n, 1, 10}]
%Y Cf. A127233, A127234.
%K nonn
%O 1,2
%A _Artur Jasinski_, Jan 09 2007, Jan 11 2007