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Number of nX3 arrays containing 3 copies of 0..n-1 with no equal horizontal, vertical or antidiagonal neighbors and new values introduced sequentially from 0.
0

%I #5 Aug 12 2016 07:05:16

%S 0,0,1,32,4954,878953,192333677,53404173562,18545695848787,

%T 7914432322153846

%N Number of nX3 arrays containing 3 copies of 0..n-1 with no equal horizontal, vertical or antidiagonal neighbors and new values introduced sequentially from 0.

%C Column 3 of A265373.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A265373.

%K nonn

%O 1,4

%A _R. H. Hardin_, Dec 07 2015