%I #5 Mar 31 2012 12:37:19
%S 6,36,82,221,493,1095,2654,6203,14182,33242,77781,180207,419683,
%T 979186,2277663,5301348,12351370,28755901,66942929,155895195,
%U 362997882,845159395,1967953186,4582333234,10669471213,24843252803,57846384111
%N Number of 3Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically
%C Row 3 of A207762
%H R. H. Hardin, <a href="/A207763/b207763.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +8*a(n-3) +a(n-5) -12*a(n-6) -3*a(n-7) +a(n-8) +10*a(n-9) -2*a(n-10) -3*a(n-12) for n>14
%e Some solutions for n=4
%e ..1..1..1..0....0..1..1..1....0..1..0..0....1..1..0..0....1..1..1..0
%e ..0..0..1..0....0..1..0..0....1..1..0..0....1..0..0..1....0..0..1..1
%e ..0..0..1..1....0..1..0..0....0..1..1..1....0..0..1..0....0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 19 2012