%I #3 Oct 03 2013 09:33:12

%S 1,792,169884,16195608,868489479,30107635272,739309710568,

%T 13710834632352,201299981193168,2424984388825856,24648355308799872,

%U 216147115784860416,1665094848682410288,11437167331673750304,70921650365525951640,401206240199887951400

%N Number of 5 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,7,n can be permuted, see formula.

%F (empirical) set p,q,r to n,7,5 (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