A260171 - OEIS

%I #4 Jul 17 2015 13:53:34

%S 74,167,419,1001,2500,6344,15847,39584,99741,250297,626433,1572166,

%T 3946872,9894451,24814854,62266809,156182193,391707889,982630798,

%U 2464919670,6182653471,15508493498,38902275855,97581089767,244769200723

%N Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001

%C Column 2 of A260177

%H R. H. Hardin, <a href="/A260171/b260171.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) +5*a(n-4) -3*a(n-5) +5*a(n-6) +9*a(n-7) -5*a(n-8) -5*a(n-9) +4*a(n-10) -17*a(n-11) -14*a(n-12) +4*a(n-13) -4*a(n-14) -4*a(n-15) for n>16

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260177

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2015