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%I #5 Mar 31 2012 12:36:29
%S 2,12,55,242,1178,5355,24723,116440,545287,2548432,11939565,55931989,
%T 261856867,1226207807,5742642388,26891481148,125926466092,
%U 589702469437,2761498731050,12931647025852,60557080572253,283580433219551
%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,0,1,2 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 1's, every 4 is next to 4 2's
%C Column 3 of A197235
%H R. H. Hardin, <a href="/A197230/b197230.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +38*a(n-3) +40*a(n-4) +10*a(n-5) -150*a(n-6) -375*a(n-7) -175*a(n-8) +637*a(n-9) +2013*a(n-10) +1368*a(n-11) -1614*a(n-12) -4361*a(n-13) -4043*a(n-14) +946*a(n-15) +4156*a(n-16) +3551*a(n-17) +552*a(n-18) -881*a(n-19) -629*a(n-20) -1033*a(n-21) +508*a(n-22)
%e Some solutions for n=4
%e ..1..3..1....1..0..0....0..1..0....2..0..0....0..0..2....0..0..0....0..0..0
%e ..0..1..0....3..1..2....1..3..0....0..0..0....2..0..0....1..3..1....0..0..0
%e ..0..0..0....1..2..0....0..1..0....1..3..1....2..0..0....0..1..0....0..0..0
%e ..2..0..2....0..0..0....2..0..2....0..1..0....0..0..0....0..0..2....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 12 2011
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