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%I #4 Mar 31 2012 12:36:58
%S 940270,1905833494,9042090593477,36337203300044690,
%T 116191919935256968675,304473777397661322628561,
%U 675997322694333574295767738
%N Number of (n+1)X6 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 5 of A203896
%e Some solutions for n=4
%e ..0..0..2..3..4..4....1..3..1..3..1..1....2..1..2..3..4..1....4..2..2..3..2..2
%e ..1..1..3..3..2..2....2..2..4..2..4..4....0..3..3..2..1..4....2..4..4..3..4..4
%e ..4..4..0..0..2..2....0..4..2..4..3..3....4..2..1..3..4..1....4..3..3..4..3..4
%e ..4..4..4..4..3..3....2..2..4..4..1..2....2..4..0..0..0..3....4..3..4..3..4..2
%e ..4..4..4..4..3..3....2..3..2..3..1..4....4..4..2..4..0..4....3..4..3..4..4..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 07 2012