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Number of 4Xn arrays containing n copies of 0..4-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.
1

%I #6 Aug 12 2016 06:53:58

%S 1,68,4716,359172,29189088,2481226704,217953360768,19628937626304,

%T 1802766369904128,168204846247664640,15899323155731638272,

%U 1519290122351403276288,146525430785641038692352

%N Number of 4Xn arrays containing n copies of 0..4-1 with no equal antidiagonal neighbors and new values introduced sequentially from 0.

%C Row 4 of A265241.

%H R. H. Hardin, <a href="/A265243/b265243.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=3

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

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

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

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

%Y Cf. A265241.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 06 2015