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Number of (n+2)X4 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 3984,59907,906615,13730715,207885695,3147544633,47657171957,

%T 721577251158,10925394777419,165421364939032,2504644302903332,

%U 37922809664016571,574189116011343334,8693795217212932116

%N Number of (n+2)X4 binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock

%C Column 2 of A186806

%H R. H. Hardin, <a href="/A186799/b186799.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 6X4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2011