%I #8 Dec 30 2018 09:11:11
%S 41,52,110,232,418,758,1436,2724,5122,9588,17988,33828,63574,119382,
%T 224202,421154,791148,1486082,2791356,5243210,9848830,18499920,
%U 34749860,65273442,122608532,230305832,432602416,812592642,1526359722,2867087450
%N Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.
%H R. H. Hardin, <a href="/A261259/b261259.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 2*a(n-3) + a(n-4) + 2*a(n-5) for n>6.
%F Empirical g.f.: x*(41 + 11*x + 58*x^2 + 40*x^3 + 41*x^4 - 14*x^5) / (1 - x - 2*x^3 - x^4 - 2*x^5). - _Colin Barker_, Dec 30 2018
%e Some solutions for n=4:
%e ..0..0..1..0....0..0..1..0....0..0..1..0....0..1..0..1....0..1..0..1
%e ..1..0..0..1....0..0..0..1....0..1..0..1....0..0..1..0....1..0..1..0
%e ..0..0..1..0....1..0..1..0....1..0..1..0....0..1..0..0....0..1..0..0
%e ..0..1..0..1....0..1..0..1....0..1..0..1....1..0..1..0....1..0..1..0
%e ..1..0..1..0....0..0..1..0....1..0..0..0....0..1..0..1....0..1..0..1
%e ..0..1..0..1....1..0..0..1....0..1..0..0....1..0..0..0....1..0..0..0
%Y Column 2 of A261265.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 13 2015