%I #3 Oct 03 2013 09:33:13
%S 1,286,26026,1184183,33157124,644195552,9386849472,108284013552,
%T 1028698128744,8291930371088,58043512597616,359423289546776,
%U 1998551478139216,10102567911472960,46904779588981600,201759529849663500,810005171308207875,3054446745056957250
%N Number of 3 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,10,n can be permuted, see formula.
%F (empirical) set p,q,r to n,10,3 (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
|