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Number of (n+1)X7 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 338578395,167047130892,52148478516988,9654523816277542,

%T 1164825006247347513

%N Number of (n+1)X7 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 6 of A204339

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012