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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 00001001
1

%I #4 Jul 20 2015 12:59:32

%S 99,213,551,1235,3026,7822,18837,45114,113177,278981,673881,1658848,

%T 4103482,10010581,24491986,60359993,148047597,362209985,889739556,

%U 2185247654,5354240443,13133074594,32246360727,79089150691,193945475731

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001

%C Column 2 of A260248

%H R. H. Hardin, <a href="/A260242/b260242.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +4*a(n-3) +9*a(n-4) -13*a(n-5) +14*a(n-6) +6*a(n-7) -35*a(n-8) +11*a(n-9) +11*a(n-10) -4*a(n-11) -14*a(n-12) +10*a(n-13) -4*a(n-14) for n>15

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260248

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2015