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

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

%S 1,16,30,64,195,625,2580,8836,34903,148996,629880,2722500,12034106,

%T 53304601,238715100,1069617025,4811385635,21685802121,97859055714,

%U 441832737025,1996456911552,9023583429184,40798463142960,184481127958689

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

%C Column 5 of A183374

%H R. H. Hardin, <a href="/A183372/b183372.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 7X5

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011