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%I #3 Oct 03 2013 09:33:12
%S 1,330,32670,1557270,44537922,868489479,12544848030,142174944340,
%T 1318349483880,10323075958624,69951472754592,418241323113120,
%U 2241344526426720,10905003176653080,48687631829880516,201274033545094290,776327864163869875,2812085452234451250
%N Number of 4 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,7,n can be permuted, see formula.
%F (empirical) set p,q,r to n,7,4 (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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