A140931 - OEIS

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

%S 1,43758,367479684,1028698128744,1268665346776464,819557814017595744,

%T 312230512837780450368

%N Number of 8 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,10,n can be permuted, see formula.

%F (empirical) set p,q,r to n,10,8 (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