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%I #3 Oct 03 2013 09:33:13
%S 1,8008,14158144,9386849472,3031952379456,559611782036736,
%T 65728947490132992,5307612509828239104,312230512837780450368
%N Number of 6 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,10,n can be permuted, see formula.
%F (empirical) set p,q,r to n,10,6 (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