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Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101.
1

%I #4 Aug 17 2015 08:29:32

%S 60,82,202,424,869,1714,3778,7462,15888,31618,68245,135058,290195,

%T 575938,1238957,2455954,5282429,10475722,22530337,44674906,96090169,

%U 190539730,409810129,812624530,1747814377,3465775738,7454228289,14781184618

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101.

%C Column 3 of A261380.

%H R. H. Hardin, <a href="/A261375/b261375.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +11*a(n-4) +13*a(n-6) -2*a(n-8) -2*a(n-10) +4*a(n-12) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261380.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 17 2015