%I #5 Aug 25 2012 05:57:46
%S 1,1,1,2,10,29,262,932,11694,46988,727846,3166688,56797272,261286670,
%T 5219906670,25024705056
%N 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
%C Row 4 of A215788
%e Some solutions for n=5
%e ..0..x..1..x..2....0..x..1..x..2....0..x..1..x..4....0..x..1..x..4
%e ..x..3..x..4..x....x..3..x..5..x....x..2..x..5..x....x..2..x..5..x
%e ..5..x..6..x..8....4..x..6..x..7....3..x..6..x..8....3..x..6..x..7
%e ..x..7..x..9..x....x..8..x..9..x....x..7..x..9..x....x..8..x..9..x
%K nonn
%O 1,4
%A _R. H. Hardin_ Aug 23 2012