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%I #5 Mar 31 2012 12:36:28
%S 3,11,76,408,2026,10582,55882,292564,1530151,8011519,41953630,
%T 219665320,1150106497,6021786417,31529327887,165083020845,
%U 864350463984,4525614428894,23695466872796,124066050968884,649591959407978
%N Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,1,3,0,2 for x=0,1,2,3,4
%C Every 0 is next to 0 4'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 2's
%C Column 3 of A197069
%H R. H. Hardin, <a href="/A197064/b197064.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) +58*a(n-4) +96*a(n-5) +37*a(n-6) -10*a(n-7) -4*a(n-8) -26*a(n-9) +3*a(n-10) -2*a(n-11) -a(n-12) for n>13
%e Some solutions for n=4
%e ..0..0..0....0..3..0....0..0..0....0..3..0....0..1..1....0..1..1....1..0..0
%e ..1..1..0....1..0..0....0..0..0....3..0..3....0..0..0....0..3..0....1..0..3
%e ..0..0..0....1..0..0....3..0..3....0..0..0....0..0..0....3..0..1....0..0..0
%e ..1..1..0....0..1..1....0..3..0....1..1..0....0..0..0....0..0..1....0..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 09 2011
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