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%I #4 Mar 12 2013 18:35:56
%S 5,105,3780,229437,8580619,545607733,20971228220,1358651862708,
%T 53077561321144,3474963120998767,137187655129561217,
%U 9041338739497666603,359601802489393277805,23807690292325473464228,952177664603231816246021
%N Number of 3Xn 0..3 arrays with no more than floor(3Xn/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order
%C Row 3 of A223041
%H R. H. Hardin, <a href="/A223043/b223043.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..1..0....0..1..0....0..1..0....0..1..1....0..1..1
%e ..3..2..3....2..3..1....0..2..0....0..2..1....0..1..2....2..0..3....0..2..0
%e ..0..2..3....0..1..0....2..1..2....0..2..1....1..1..2....3..0..1....1..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 12 2013