A185765 - OEIS

%I #5 Mar 31 2012 12:36:03

%S 680,3456,19992,118248,725352,4430912,27172072,166155112,1017804600,

%T 6228062600,38135220896,233413737792,1428998627808,8747287514112,

%U 53549280280392,327801163275208,2006695538548152,12284116597745992

%N Number of (n+1)X6 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace

%C Column 5 of A185769

%H R. H. Hardin, <a href="/A185765/b185765.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+30*a(n-2)+24*a(n-3)-95*a(n-4)-15*a(n-5)+64*a(n-6)-116*a(n-7)+16*a(n-8)+16*a(n-9) for n>12

%e Some solutions for 3X6

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 03 2011