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%I #5 Mar 31 2012 12:36:43
%S 56,140,252,10423,6972,85005,478198,27782,3937944,5383954,3924198,
%T 71618507,17686966,130532978,548361638,21099296,2051973940,1828355516,
%U 936392588,14500933504,2960256206,17247353848,55830973422,1635699693
%N Number of nX3 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other
%C Column 3 of A201101
%H R. H. Hardin, <a href="/A201096/b201096.txt">Table of n, a(n) for n = 1..43</a>
%e Some solutions for n=6
%e ..0..1..3....0..0..2....0..0..3....0..0..3....0..1..5....0..2..4....0..1..2
%e ..0..2..5....1..3..5....1..2..4....1..1..5....0..1..5....0..2..6....0..3..3
%e ..1..2..5....1..4..6....1..2..5....2..3..5....2..2..6....0..3..6....1..4..5
%e ..3..4..5....2..5..6....2..3..5....2..3..6....3..4..6....1..3..6....2..4..5
%e ..3..6..7....3..5..6....4..5..6....4..6..7....3..4..6....1..5..7....2..6..7
%e ..4..6..7....4..7..7....6..7..7....4..7..7....5..7..7....4..5..7....6..6..7
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 26 2011
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