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Number of (n+1)X8 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
0

%I #4 Mar 31 2012 12:37:01

%S 2968107693,2182013404785,1056518851863222,294839891112676990,

%T 51487565527487424610

%N Number of (n+1)X8 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 7 of A204339

%e Some solutions for n=4

%e ..0..6..5..4..4..4..4..4....6..4..3..3..4..4..4..5....4..7..4..6..4..5..4..4

%e ..4..5..6..7..7..7..7..7....4..6..7..7..7..7..7..7....7..4..7..5..7..6..7..7

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

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

%e ..2..7..7..7..7..7..7..7....4..7..7..7..7..7..7..7....4..7..6..7..7..7..7..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012