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Number of nX6 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero
1

%I #4 Oct 30 2013 17:08:05

%S 0,12,326,12210,497166,21835516,888633610,37511690680,1575024801010,

%T 65857595528130,2767152819316108,115921366835256538,

%U 4863791239252964166,203925622348965051300,8552837284722587592810,358663019377259939567606

%N Number of nX6 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero

%C Column 6 of A230819

%H R. H. Hardin, <a href="/A230817/b230817.txt">Table of n, a(n) for n = 1..38</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 30 2013