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%I #5 Mar 31 2012 12:36:26
%S 3,11,76,408,2025,10548,55431,289038,1506376,7857827,40992713,
%T 213825921,1115337571,5817828688,30347027526,158296067515,
%U 825703442256,4307033134922,22466340292902,117188887827705,611280485474823
%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,3,0,4 for x=0,1,2,3,4
%C Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's
%C Column 3 of A196696
%H R. H. Hardin, <a href="/A196691/b196691.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) +8*a(n-2) +32*a(n-3) +54*a(n-4) +88*a(n-5) +28*a(n-6) -a(n-7) -10*a(n-8) -18*a(n-9) -a(n-11) -a(n-12) for n>13
%e Some solutions for n=4
%e ..0..1..1....0..1..0....0..0..0....0..0..0....0..3..0....1..1..0....0..0..1
%e ..0..0..0....0..1..0....0..0..0....3..0..0....0..0..0....0..0..0....0..0..1
%e ..0..3..0....0..0..0....0..0..0....0..3..1....1..0..1....0..0..3....1..1..0
%e ..1..1..0....0..1..1....0..1..1....0..0..1....1..0..1....1..1..0....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 05 2011
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