A207307 - OEIS

%I #5 Mar 31 2012 12:37:16

%S 8,64,200,643,1759,4939,14446,41505,118266,339548,975493,2795633,

%T 8015023,22994104,65948845,189120690,542403026,1555646545,4461518045,

%U 12795484071,36697414724,105247642363,301847990088,865695191094,2482800552095

%N Number of 4Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically

%C Row 4 of A207305

%H R. H. Hardin, <a href="/A207307/b207307.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +8*a(n-3) +7*a(n-4) -2*a(n-5) -10*a(n-6) -10*a(n-7) -a(n-8) +3*a(n-9) +4*a(n-10) +a(n-11) -a(n-13) for n>14

%e Some solutions for n=4

%e ..1..0..0..1....0..0..1..0....1..1..0..0....0..0..1..1....1..1..1..1

%e ..0..1..1..0....1..0..0..1....1..1..0..0....1..0..0..1....1..1..1..1

%e ..1..0..0..1....0..0..1..0....1..1..0..0....0..0..1..1....1..1..1..1

%e ..1..1..1..1....1..0..0..1....1..1..0..0....0..0..1..1....1..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012