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%I #4 Nov 22 2013 08:25:31
%S 7,257,5149,107047,2245709,46996227,983668985,20589521605,
%T 430963205159,9020580137409,188811629568963,3952055258851259,
%U 82721285963402783,1731456343499743925,36241470799292200815,758577720207653990475
%N Number of nX3 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically or antidiagonally
%C Column 3 of A232309
%H R. H. Hardin, <a href="/A232304/b232304.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) +66*a(n-2) +338*a(n-3) +35*a(n-4) +706*a(n-5) -4131*a(n-6) +6628*a(n-7) -20192*a(n-8) +4632*a(n-9) -22908*a(n-10) +92304*a(n-11) -22608*a(n-12) -9536*a(n-13) -7616*a(n-14) +4096*a(n-15)
%e Some solutions for n=4
%e ..0..1..1....2..0..1....2..1..1....1..1..2....2..1..1....1..2..1....2..1..2
%e ..0..2..0....1..2..1....1..2..2....2..1..2....0..1..2....0..0..2....2..0..1
%e ..1..1..2....2..0..0....1..2..2....0..1..1....2..2..1....1..1..0....1..2..0
%e ..1..2..2....1..1..2....0..1..1....1..2..0....2..1..0....2..2..2....2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 22 2013
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