%I #4 Aug 24 2015 10:57:00

%S 80,132,269,484,871,1702,3230,6084,11656,22140,41998,80163,152575,

%T 290154,552862,1052566,2003661,3815643,7265371,13832801,26339615,

%U 50153430,95494793,181830620,346224829,659237773,1255247777,2390111154,4550973946

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011.

%C Column 2 of A261553.

%H R. H. Hardin, <a href="/A261549/b261549.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +3*a(n-3) +a(n-4) -a(n-5) +a(n-6) -2*a(n-7) -2*a(n-8) -3*a(n-9) +2*a(n-10) -a(n-11) -7*a(n-12) +3*a(n-13) -4*a(n-14) -2*a(n-15) +2*a(n-16) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261553.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 24 2015