A259767 - OEIS

%I #4 Jul 04 2015 21:39:39

%S 104,167,256,385,612,1108,1708,2700,4660,7378,11350,19232,31280,48032,

%T 80218,131336,202926,335260,550228,857598,1403502,2304624,3618252,

%U 5883582,9653232,15248198,24687220,40439420,64203790,103643474,169453708

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

%C Column 3 of A259770

%H R. H. Hardin, <a href="/A259767/b259767.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-3) +3*a(n-6) +4*a(n-7) -2*a(n-9) +2*a(n-11) -8*a(n-13) +6*a(n-14) for n>17

%e Some solutions for n=4

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

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

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

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

%Y Cf. A259770

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 04 2015