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%I #3 Oct 03 2013 09:33:13
%S 1,3003,2186184,644195552,98561919456,9095857138368,559611782036736,
%T 24648355308799872,819557814017595744,21427584214357481888,
%U 454924095627897307776,8048657076493567752960,121208942878147181041600,1581318351414483181236000
%N Number of 5 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,10,n can be permuted, see formula.
%F (empirical) set p,q,r to n,10,5 (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
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