%I #5 Mar 31 2012 12:36:47

%S 126,441,1785,7225,27880,107584,422136,1656369,6459453,25190361,

%T 98462742,384865924,1503033070,5869858225,22931405805,89584680249,

%U 349930588752,1366878986496,5339482693488,20857790423089,81475946359561

%N Number of (n+2)X3 binary arrays avoiding patterns 000 and 010 in rows and columns

%C Column 1 of A202406

%H R. H. Hardin, <a href="/A202399/b202399.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +18*a(n-3) +44*a(n-4) +38*a(n-5) +80*a(n-6) -80*a(n-8) -38*a(n-9) -44*a(n-10) -18*a(n-11) +a(n-12) -2*a(n-13) +a(n-14)

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 19 2011