A260761 - OEIS

%I #4 Jul 30 2015 22:46:33

%S 82,115,265,481,798,1671,3196,5596,11008,21414,38685,73802,143343,

%T 265124,499236,961606,1804214,3387690,6472826,12229083,22991554,

%U 43688857,82748766,155915780,295370360,559665162,1056451639,1998590816,3785473856

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010011

%C Column 2 of A260767

%H R. H. Hardin, <a href="/A260761/b260761.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-3) +6*a(n-4) +2*a(n-5) -6*a(n-6) -18*a(n-7) -18*a(n-8) -8*a(n-9) +2*a(n-10) +21*a(n-11) +23*a(n-12) +10*a(n-13) +11*a(n-14) -5*a(n-15) -8*a(n-16) -a(n-17) -4*a(n-18) +a(n-20) for n>23

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260767

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 30 2015