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%I #5 Mar 31 2012 12:36:30
%S 2,10,35,106,410,1479,5280,18882,67751,242440,867925,3107159,11124592,
%T 39826674,142586969,510485048,1827627898,6543219347,23425871440,
%U 83868676944,300264436266,1074998739399,3848682051842,13778949324677
%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,0,2,2 for x=0,1,2,3,4
%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 2's
%C Column 3 of A197561
%H R. H. Hardin, <a href="/A197556/b197556.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) +a(n-3) -4*a(n-4) -17*a(n-5) -4*a(n-6) +35*a(n-7) +49*a(n-8) +24*a(n-9) -14*a(n-10) -44*a(n-11) -40*a(n-12) -20*a(n-13) +4*a(n-14) +9*a(n-15) +2*a(n-16)
%e Some solutions for n=4
%e ..2..0..0....0..2..0....0..0..0....0..2..0....2..0..0....0..2..0....0..0..0
%e ..0..0..2....0..1..0....0..0..0....0..2..0....0..0..0....2..3..2....2..2..2
%e ..0..0..2....2..3..2....0..0..0....2..3..2....0..0..0....0..1..0....0..0..0
%e ..2..0..0....0..2..0....0..0..0....0..0..0....2..0..2....0..0..2....0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 16 2011
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