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Number of permutations of 0..floor((5*n-1)/2) on even squares of an 5*n array such that each row, column, diagonal and (downwards) antidiagonal of even squares is increasing
0

%I #5 Aug 25 2012 05:57:17

%S 1,1,1,4,25,189,2465,26451,530429,7027942,187205626,2850280812

%N Number of permutations of 0..floor((5*n-1)/2) on even squares of an 5*n array such that each row, column, diagonal and (downwards) antidiagonal of even squares is increasing

%C Row 5 of A215788

%e Some solutions for n=5

%e ..0..x..1..x..4....0..x..1..x..4....0..x..1..x..3....0..x..1..x..3

%e ..x..2..x..5..x....x..2..x..5..x....x..2..x..4..x....x..2..x..5..x

%e ..3..x..6..x..8....3..x..6..x..8....5..x..6..x..8....4..x..6..x..8

%e ..x..7..x..9..x....x..7..x.10..x....x..7..x..9..x....x..7..x..9..x

%e .10..x.11..x.12....9..x.11..x.12...10..x.11..x.12...10..x.11..x.12

%K nonn

%O 1,4

%A _R. H. Hardin_ Aug 23 2012