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Number of nX3 0..2 arrays with exactly floor(nX3/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order
1

%I #4 Feb 28 2013 17:00:05

%S 0,4,32,420,2050,32296,159672,2593768,13108760,215573760,1103125848,

%T 18291819408,94349236032,1574003841792,8162910172992,136816063935552,

%U 712336725800320,11983316167337728,62579289627023616,1055874509971768576

%N Number of nX3 0..2 arrays with exactly floor(nX3/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order

%C Column 3 of A222690

%H R. H. Hardin, <a href="/A222685/b222685.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 28 2013