%I #4 Mar 14 2013 21:38:56
%S 0,22,269,5624,64346,1435644,17231678,394101698,4795863215,
%T 111385873044,1367910381793,32104125661092,396732928643199,
%U 9380176155748724,116431632349956000,2768141124993190440,34474283501877795558
%N Number of 3Xn 0..2 arrays with exactly 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 A223114
%H R. H. Hardin, <a href="/A223116/b223116.txt">Table of n, a(n) for n = 1..51</a>
%e Some solutions for n=3
%e ..0..0..0....0..0..0....0..1..0....0..1..0....0..1..2....0..1..1....0..1..1
%e ..1..0..2....0..1..2....1..2..0....0..2..0....0..1..2....1..1..0....2..1..2
%e ..2..0..2....0..1..2....1..0..1....2..1..1....0..0..0....0..2..0....2..0..1
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 14 2013