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Number of nX5 binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors
1

%I #5 Mar 31 2012 12:35:51

%S 4,21,108,548,3102,17101,95674,543837,3094889,17654882,100922299,

%T 576885277,3298560872,18868606128,107935859047,617459322870,

%U 3532519181939,20210076149240,115625671366613,661524633792529

%N Number of nX5 binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors

%C Column 5 of A183368

%H R. H. Hardin, <a href="/A183367/b183367.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 7X5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 04 2011