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Number of nX6 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 1,25,64,144,625,3969,22801,104329,580644,3763600,23707161,144480400,

%T 910470276,5844449601,37337446441,237578256400,1520187895681,

%U 9757501690000,62593240504921,401316721817881,2575276886918596

%N Number of nX6 binary arrays with no element equal to the mod 3 sum of its diagonal and antidiagonal neighbors

%C Column 6 of A183374

%H R. H. Hardin, <a href="/A183373/b183373.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X6

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011