A215790 Number of permutations of 0..floor((4*n-1)/2) on even squares of an 4*n array such that each row, column, diagonal and (downwards) antidiagonal of even squares is increasing.
1, 1, 1, 2, 10, 29, 262, 932, 11694, 46988, 727846, 3166688, 56797272, 261286670, 5219906670, 25024705056
Offset: 1
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Examples
Some solutions for n=5 ..0..x..1..x..2....0..x..1..x..2....0..x..1..x..4....0..x..1..x..4 ..x..3..x..4..x....x..3..x..5..x....x..2..x..5..x....x..2..x..5..x ..5..x..6..x..8....4..x..6..x..7....3..x..6..x..8....3..x..6..x..7 ..x..7..x..9..x....x..8..x..9..x....x..7..x..9..x....x..8..x..9..x
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