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Number of 4Xn 0..2 arrays with no more than floor(4Xn/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 05:34:58

%S 14,664,33604,1780641,95995609,5237368607,288571160526,16027080505369,

%T 895863901854996,50338336373575693,2840746375350118566,

%U 160894419525331340526,9140889738498087938175,520699963561902675358667

%N Number of 4Xn 0..2 arrays with no more than floor(4Xn/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order

%C Row 4 of A223126

%H R. H. Hardin, <a href="/A223129/b223129.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 15 2013