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Half the number of (n+1)X8 binary arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
1

%I #5 Mar 31 2012 12:36:00

%S 15842,1107926,78509868,6057271712,462355902596,35064902406734,

%T 2659360843218429,201958235918095986,15333630682922503829,

%U 1164123481083707759494,88379156849428630994503

%N Half the number of (n+1)X8 binary arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

%C Column 7 of A184614

%H R. H. Hardin, <a href="/A184612/b184612.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for 3X8

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

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

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

%e ...

%e ...1..2..1..1..2..2..2.......1..1..0..1..2..2..2.......2..1..1..2..1..1..2...

%e ...2..2..2..2..2..1..1.......2..1..1..2..2..2..2.......3..2..1..2..2..2..3...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 18 2011