A188845 - OEIS

%I #5 Mar 31 2012 12:36:14

%S 7,49,219,958,3860,15358,59939,232747,899307,3468816,13362322,

%T 51445648,197998075,761910893,2931606169,11279434226,43396799102,

%U 166963886874,642368646269,2471408829291,9508325156265,36581628609584,140741386091368

%N Number of nX3 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally

%C Column 3 of A188851

%H R. H. Hardin, <a href="/A188845/b188845.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 7*a(n-1) -10*a(n-2) -22*a(n-3) +57*a(n-4) +3*a(n-5) -77*a(n-6) +21*a(n-7) +42*a(n-8) -10*a(n-9) -13*a(n-10) +a(n-11) +2*a(n-12)

%e Some solutions for 4X3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 12 2011