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Number of 3Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically
2

%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