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Number of permutations of 0..floor((6*n-2)/2) on odd squares of an 6Xn array such that each row, column, diagonal and (downwards) antidiagonal of odd squares is increasing
0

%I #5 Aug 25 2012 05:53:59

%S 1,1,1,8,50,1233,15485,767560,14296434,1124811332

%N Number of permutations of 0..floor((6*n-2)/2) on odd squares of an 6Xn array such that each row, column, diagonal and (downwards) antidiagonal of odd squares is increasing

%C Row 6 of A215870

%e Some solutions for n=4

%e ..x..0..x..2....x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..2

%e ..1..x..3..x....2..x..3..x....2..x..3..x....2..x..3..x....1..x..3..x

%e ..x..4..x..5....x..4..x..6....x..4..x..5....x..4..x..5....x..4..x..6

%e ..6..x..7..x....5..x..7..x....6..x..7..x....6..x..7..x....5..x..7..x

%e ..x..8..x.10....x..8..x.10....x..8..x..9....x..8..x.10....x..8..x..9

%e ..9..x.11..x....9..x.11..x...10..x.11..x....9..x.11..x...10..x.11..x

%K nonn

%O 1,4

%A _R. H. Hardin_ Aug 25 2012