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Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101
1

%I #4 Aug 01 2015 06:10:30

%S 82,131,288,496,796,1645,2976,4890,9332,17659,30090,54846,104380,

%T 184549,329454,618800,1121728,1998197,3692344,6772932,12142202,

%U 22172787,40769872,73664484,133728146,245325455,445857864,808254626,1477620470

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101

%C Column 2 of A260841

%H R. H. Hardin, <a href="/A260835/b260835.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-3) -a(n-4) -3*a(n-5) -5*a(n-6) +3*a(n-9) -2*a(n-10) -5*a(n-11) -2*a(n-12) -a(n-13) +5*a(n-14) -2*a(n-15) -2*a(n-17) +2*a(n-18) for n>19

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260841

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 01 2015