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Number of (n+1)X7 binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors
1

%I #5 Mar 31 2012 12:36:09

%S 3520,46003,641743,9823368,148669520,2287444987,35118814718,

%T 539993233442,8301474121906,127642216451132,1962496986726439,

%U 30174249793987854,463939440774903934,7133234356724529920,109676111704087494791

%N Number of (n+1)X7 binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors

%C Column 6 of A187729

%H R. H. Hardin, <a href="/A187726/b187726.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 3X7

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 13 2011