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Number of nX2 nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once)
0

%I #5 Mar 31 2012 12:36:54

%S 1,8,36,544,12700,431432,17482140,1012606444

%N Number of nX2 nonnegative integer arrays with adjacent horizontal and vertical element pair sums equal to all values in 0..2nk-n-k-1 (each exactly once)

%C Column 2 of A203022

%e Some solutions for n=4

%e ..2..1....2..4....4..1....5..0....5..1....1..7....5..2....3..3....2..7....0..2

%e ..0..0....2..3....2..0....4..0....0..0....3..2....4..1....4..5....0..0....0..6

%e ..5..4....0..0....7..0....2..1....7..2....0..0....0..0....0..0....1..4....4..3

%e ..3..3....8..1....1..3....0..7....1..2....6..1....2..6....2..1....2..4....1..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 27 2011