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

%I #4 Mar 05 2013 03:00:38

%S 0,4,13,96,301,2242,7575,55958,196442,1448568,5188656,38338122,

%T 138866688,1029494580,3754449699,27929878716,102325331440,

%U 763577070328,2806916894109,21001612120424,77405327921654,580452846750048

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

%C Column 3 of A222769

%H R. H. Hardin, <a href="/A222764/b222764.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..0..0....0..1..0....0..1..0....0..0..0....0..1..1

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 05 2013