Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111
1

%I #4 Jul 14 2015 07:52:30

%S 256,594,1680,3825,6714,16344,42094,84761,173654,438404,996340,

%T 2016015,4598146,11017398,23615180,50616069,118597002,268738044,

%U 575235736,1289517999,2973476636,6546511470,14328637582,32602124265,73467292150

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111

%C Column 3 of A260070

%H R. H. Hardin, <a href="/A260065/b260065.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-3) +15*a(n-4) -8*a(n-6) -29*a(n-7) -36*a(n-8) -3*a(n-9) -10*a(n-10) +4*a(n-11) +26*a(n-12) -23*a(n-13) -12*a(n-14) -28*a(n-15) -8*a(n-17) for n>21

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260070

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 14 2015