A260134 - OEIS

%I #4 Jul 17 2015 06:57:04

%S 266,730,2966,8292,24696,85048,266156,813540,2626092,8360396,26119048,

%T 82814452,263115624,829520604,2621823280,8306855180,26259682284,

%U 83003335876,262648203728,830734849888,2626747254764,8308477712268

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111

%C Column 4 of A260138

%H R. H. Hardin, <a href="/A260134/b260134.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +16*a(n-3) +7*a(n-4) -14*a(n-5) -45*a(n-6) -14*a(n-7) +5*a(n-8) +38*a(n-9) +13*a(n-10) -6*a(n-11) -6*a(n-12) for n>13

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260138

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015