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Number of (n+1)X6 0..7 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
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%I #5 Mar 31 2012 12:37:01

%S 35861109,11129487382,2112336887047,250869977097844,20044731040262804,

%T 1164825006247347513,51487565527487424610,1810428198071511308150,

%U 52129305806501779053351,1262918639287210646015226

%N Number of (n+1)X6 0..7 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 5 of A204339

%H R. H. Hardin, <a href="/A204336/b204336.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..1..6..7..6..6....2..7..3..3..7..7....4..2..2..5..5..3....7..2..6..5..6..4

%e ..2..2..7..6..7..7....6..3..7..7..7..7....0..6..6..5..5..7....2..7..5..6..5..7

%e ..0..4..6..7..7..7....2..7..7..7..7..7....4..6..6..7..7..7....4..5..7..6..7..6

%e ..7..5..6..7..7..7....5..7..7..7..7..7....5..5..7..7..7..7....2..7..6..7..6..7

%e ..5..7..6..7..7..7....5..7..7..7..7..7....7..7..7..7..7..7....3..6..7..6..7..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012