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%I #5 Mar 31 2012 12:36:26
%S 2,20,120,698,4078,24032,141460,830652,4886324,28734972,168979540,
%T 993659990,5842982750,34359849144,202051334982,1188148848850,
%U 6986829817634,41085617221494,241601571059434,1420723058603468
%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,2,0,1,4 for x=0,1,2,3,4
%C Every 0 is next to 0 3's, every 1 is next to 1 2's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 4's
%C Column 3 of A196590
%H R. H. Hardin, <a href="/A196585/b196585.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 3*a(n-1) +6*a(n-2) +39*a(n-3) +104*a(n-4) +306*a(n-5) -248*a(n-6) +121*a(n-7) -629*a(n-8) +185*a(n-9) -1768*a(n-10) -3604*a(n-11) -297*a(n-12) -1760*a(n-13) -520*a(n-14) +1300*a(n-15) -226*a(n-16) -1807*a(n-17) -90*a(n-18) +2286*a(n-19) +2319*a(n-20) +634*a(n-21) -1588*a(n-22) -995*a(n-23) +386*a(n-24) +236*a(n-25) -56*a(n-26) -16*a(n-27)
%e Some solutions for n=4
%e ..0..0..0....0..0..1....1..0..0....0..0..1....0..2..0....0..0..2....0..2..1
%e ..2..2..0....0..0..2....2..0..1....1..0..2....1..2..0....1..2..0....0..0..0
%e ..0..1..0....2..1..0....0..0..2....2..0..0....0..0..2....1..2..0....2..0..0
%e ..2..0..0....0..0..2....0..0..0....0..0..0....0..0..1....0..0..2....1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 04 2011
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