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Number of (n+2)X6 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 244558,13730715,782510382,44618824642,2543130767720,144968185692408,

%T 8263791225579948,471067696528736345,26852704296317001032,

%U 1530709282365815254320,87256413284003840550168

%N Number of (n+2)X6 binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock

%C Column 4 of A186806

%H R. H. Hardin, <a href="/A186801/b186801.txt">Table of n, a(n) for n = 1..147</a>

%e Some solutions for 4X6

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2011