A260010 - OEIS

%I #4 Jul 13 2015 08:44:45

%S 109,252,889,2492,6944,18356,56137,155304,457083,1237656,3708013,

%T 10156868,30171658,82173696,245127382,669551372,1993152025,5436308892,

%U 16199822928,44216960412,131695381211,359328558160,1070497238319

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101

%C Column 3 of A260015

%H R. H. Hardin, <a href="/A260010/b260010.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +37*a(n-4) -13*a(n-6) -124*a(n-8) +12*a(n-10) +72*a(n-12) for n>13

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260015

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 13 2015