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%I #3 Oct 03 2013 09:33:12
%S 1,495,70785,4723719,184225041,4789851066,90474964580,1318349483880,
%T 15484613937936,151561524301616,1268665346776464,9271015995674160,
%U 60142744792450320,351141102288229176,1866359220145419780,9118323640906544350,41286527321442170625
%N Number of 4 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,8,n can be permuted, see formula.
%F (empirical) set p,q,r to n,8,4 (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