login
Number of (n+2)X7 binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock
1

%I #5 Mar 31 2012 12:36:06

%S 1916364,207885695,22986441710,2543130767720,281222068231208,

%T 31102381776833744,3439855711337907764,380438338036924395628,

%U 42075486550662042557800,4653437870679555570938770

%N Number of (n+2)X7 binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock

%C Column 5 of A186806

%H R. H. Hardin, <a href="/A186802/b186802.txt">Table of n, a(n) for n = 1..22</a>

%e Some solutions for 4X7

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2011