A208553 - OEIS

%I #5 Mar 31 2012 12:37:23

%S 26,676,3354,16641,50052,150544,351140,819025,1634430,3261636,5853246,

%T 10504081,17449544,28987456,45403272,71115489,106340130,159012100,

%U 229010210,329821921,460490316,642926736,874503084,1189491121,1582286342

%N Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically

%C Column 6 of A208555

%H R. H. Hardin, <a href="/A208553/b208553.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 28 2012