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Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101
1

%I #4 Jul 16 2015 07:22:55

%S 85,201,477,1151,2794,6804,16453,39854,96501,233975,566755,1373344,

%T 3326942,8061337,19530608,47321405,114650673,277784695,673027156,

%U 1630654912,3950831441,9572304480,23192285181,56191572297,136144001797

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101

%C Column 2 of A260106

%H R. H. Hardin, <a href="/A260100/b260100.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +12*a(n-4) -a(n-5) -8*a(n-6) +2*a(n-7) -51*a(n-8) -22*a(n-9) -12*a(n-10) -46*a(n-11) +31*a(n-12) +12*a(n-13) -21*a(n-14) +18*a(n-15) -6*a(n-16) -18*a(n-17) for n>18

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260106

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 16 2015