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%I #5 Mar 31 2012 12:36:58
%S 203994,147040347,111118765078,63988637491851,29334499587197078,
%T 11182918411649538015,3656539548388832446371,
%U 1048301248458803859992252,267875645578258677848266646,61792693706402815887236884165
%N Number of (n+1)X4 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 3 of A203913
%H R. H. Hardin, <a href="/A203911/b203911.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for n=4
%e ..4..3..3..1....6..3..4..5....1..1..2..2....5..0..6..4....4..1..1..5
%e ..3..4..4..6....3..6..5..4....3..3..6..6....0..5..2..4....0..5..5..6
%e ..6..5..5..4....6..4..5..6....2..4..6..6....6..1..0..3....0..5..5..6
%e ..5..6..6..4....4..6..6..5....6..1..4..4....1..6..3..5....1..4..6..5
%e ..5..6..6..4....5..6..4..5....1..6..3..3....4..6..2..0....4..2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 07 2012
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