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Number of nX3 0..3 arrays with no more than floor(nX3/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order
1

%I #4 Mar 09 2013 07:52:33

%S 1,7,45,767,4909,119393,759891,20299463,130579169,3588643955,

%T 23230932391,647426033879,4209052934053,118324983126455,

%U 771976078016995,21829828686370139,142850851773130033,4056660324820606967

%N Number of nX3 0..3 arrays with no more than floor(nX3/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Column 3 of A222906

%H R. H. Hardin, <a href="/A222901/b222901.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 09 2013