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Number of nX4 arrays of permutations of 4 copies of 0..n-1 with every element equal to at least one vertical or antidiagonal neighbor and the top left element equal to 0.
1

%I #3 Jan 27 2016 12:32:56

%S 0,3,14,906,23592,3304920,334738800,79401782880

%N Number of nX4 arrays of permutations of 4 copies of 0..n-1 with every element equal to at least one vertical or antidiagonal neighbor and the top left element equal to 0.

%C Column 4 of A268159.

%e Some solutions for n=4

%e ..0..0..3..1....0..0..2..1....0..2..2..0....0..1..0..2....0..1..1..2

%e ..0..0..3..1....0..0..2..1....0..2..0..1....0..1..0..2....0..1..2..3

%e ..3..2..2..1....1..2..3..3....2..3..3..1....1..3..3..2....1..2..3..0

%e ..3..2..2..1....1..2..3..3....3..3..1..1....1..3..3..2....2..3..3..0

%Y Cf. A268159.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 27 2016