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%I #5 Mar 31 2012 12:37:00
%S 36672,1350442,32094464,568991365,7806803388,88637852693,853966571340,
%T 7204888459175,54167606326812,369279272035480,2310457600833830,
%U 13412611572570908,72857443060898091,373081682057371249
%N Number of (n+1)X4 0..5 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) nondecreasing in column and row directions, respectively
%C Column 3 of A203944
%H R. H. Hardin, <a href="/A203939/b203939.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..4..0..5..2....1..4..0..4....5..3..4..5....1..1..2..2....0..0..2..4
%e ..0..4..2..5....4..1..5..5....3..5..4..5....1..1..5..5....0..0..4..4
%e ..4..1..5..4....0..5..5..5....5..4..5..4....5..5..5..5....3..3..3..5
%e ..0..5..4..5....0..5..5..5....4..5..4..5....5..5..5..5....3..3..3..5
%e ..5..4..5..4....1..5..5..5....5..4..5..5....5..5..5..5....1..5..5..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 08 2012
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