# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a140923 Showing 1-1 of 1 %I A140923 #3 Oct 03 2013 09:33:13 %S A140923 1,24310,118195220,198520691512,151561524301616,62305564808355232, %T A140923 15480536486999030720 %N A140923 Number of 8 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,9,n can be permuted, see formula. %F A140923 (empirical) set p,q,r to n,9,8 (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 A140923 nonn %O A140923 0,2 %A A140923 _R. H. Hardin_, Jul 05 2008 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE