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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 diagonal or antidiagonal neighbor and the top left element equal to 0.
0

%I #4 Jan 27 2016 05:32:27

%S 0,3,8,672,5760,1411560,25024320,11908517040,361147852800

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

%C Column 4 of A268142.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A268142.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 27 2016