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Number of nX5 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 17:07:25

%S 0,2,100,816,28772,497166,10872238,222626294,4556094076,94532505000,

%T 1941906344228,40087399972486,826150677451514,17030503979740618,

%U 351123996865798068,7237977275451164624,149217812560349005972

%N Number of nX5 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 5 of A230819

%H R. H. Hardin, <a href="/A230816/b230816.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 30 2013