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Number of 3Xn 0..2 arrays with no more than floor(3Xn/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
1

%I #4 Mar 15 2013 05:34:17

%S 5,72,1154,28907,444555,11814919,186184618,5048458186,80664693231,

%T 2214177564958,35719743830427,988031616090509,16048574199166554,

%U 446266480581619794,7286115298409479410,203387498405308227681

%N Number of 3Xn 0..2 arrays with no more than floor(3Xn/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order

%C Row 3 of A223126

%H R. H. Hardin, <a href="/A223128/b223128.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 15 2013