%I #7 Oct 03 2013 09:33:13
%S 1,364,41405,2318680,78835120,1837984512,31803696288,431621592480,
%T 4783805983320,44648855844320,359423289546776,2543610972177184,
%U 16072267131888800,91841526467936000,479707973069130000,2311063705550691000,10348807328532138375
%N Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order.
%C In the definition, 3,11,n can be permuted, see formula.
%F (Empirical) set p,q,r to n,11,3 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))
%K nonn
%O 0,2
%A _R. H. Hardin_, Jul 05 2008
%E Edited by _N. J. A. Sloane_, Aug 28 2010 and May 08 2012