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%I #4 Nov 19 2013 08:25:18
%S 7,191,3669,67311,1270511,23931701,450210003,8472530835,159447698709,
%T 3000626337403,56468631745403,1062681339900597,19998556467233307,
%U 376352018854011055,7082553491165677717,133286288174839937051
%N Number of nX3 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally
%C Column 3 of A232149
%H R. H. Hardin, <a href="/A232146/b232146.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) +85*a(n-2) +715*a(n-3) +1790*a(n-4) +2337*a(n-5) -7031*a(n-6) -36834*a(n-7) -50760*a(n-8) -20925*a(n-9)
%e Some solutions for n=4
%e ..1..2..0....2..2..1....1..2..1....2..2..2....2..2..1....0..1..0....2..2..0
%e ..2..1..2....0..1..0....2..2..1....2..0..1....2..2..2....2..0..2....0..1..0
%e ..2..2..1....2..2..0....2..0..1....2..2..2....1..1..0....1..2..2....1..2..0
%e ..1..1..0....1..2..2....0..1..2....1..0..2....1..2..0....1..2..2....2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 19 2013