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%I #4 Nov 03 2013 06:45:48
%S 0,0,32,1344,17984,677204,18856728,564645420,16234948496,475975504692,
%T 13857021589642,404691502166966,11799362329503764,344308929571301874,
%U 10043260926278906802,293007140636817319366,8547634832665972057722
%N Number of 4Xn 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally 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 Row 4 of A231037
%H R. H. Hardin, <a href="/A231040/b231040.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..1..0....0..2..0....0..2..0....0..2..0....0..1..0....0..1..0....0..2..0
%e ..1..2..2....2..1..1....1..1..2....2..1..1....2..2..2....2..2..1....0..1..1
%e ..0..0..0....0..0..1....0..0..0....0..0..2....1..0..0....0..0..1....0..0..2
%e ..2..1..2....1..2..1....1..2..1....1..2..1....2..1..2....2..1..2....1..2..1
%K nonn
%O 1,3
%A _R. H. Hardin_, Nov 03 2013