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%I #5 Mar 31 2012 12:36:58
%S 13006,1464079,147040347,11575205434,746879546466,40994270815269,
%T 1965119386833492,83865348311521049,3233306216832170143,
%U 113913902074758737877,3701779389021751147543,111810206223328416940268
%N Number of (n+1)X3 0..6 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing
%C Column 2 of A203913
%H R. H. Hardin, <a href="/A203910/b203910.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..1..5..2....1..0..0....5..0..3....2..5..3....2..2..0....6..2..2....3..5..2
%e ..3..3..6....5..6..6....0..5..2....3..4..6....0..4..6....2..6..6....5..3..6
%e ..1..5..4....5..6..6....5..1..4....5..3..1....6..4..4....6..3..6....2..6..5
%e ..1..6..4....5..6..6....3..3..2....4..4..6....4..6..2....3..6..3....2..6..5
%e ..4..4..0....5..6..6....6..5..1....2..6..4....6..4..4....3..6..3....2..6..5
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 07 2012
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