%I #5 Mar 31 2012 12:36:58
%S 16842,2634939,499486878,74956749750,9042090593477,909510089895106,
%T 78614554935810312,5968834286653520880,404692851931445802070,
%U 24817586014857838296353,1390653203986844241431276
%N Number of (n+1)X4 0..4 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 A203896
%H R. H. Hardin, <a href="/A203891/b203891.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..2..4..3..3....4..1..2..1....3..3..2..2....3..1..0..4....0..1..2..0
%e ..3..3..4..4....1..4..3..4....3..3..4..4....1..3..4..3....0..3..2..4
%e ..2..4..4..4....2..3..4..3....2..4..4..4....3..4..3..1....1..2..3..3
%e ..2..4..4..4....4..2..1..2....2..4..4..4....4..3..4..3....1..2..4..2
%e ..2..4..4..4....3..3..4..3....2..4..4..4....4..4..3..0....1..4..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 07 2012
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