A140940 - OEIS

%I #3 Oct 03 2013 09:33:13

%S 1,75582,1057896060,4783805983320,9271015995674160,

%T 9183250377581777952,5247874388850386800416

%N Number of 8 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,11,n can be permuted, see formula.

%F (empirical) set p,q,r to n,11,8 (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