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%I #6 Sep 28 2013 18:45:57
%S 0,3,43,245,1171,5077,20691,80757,305235,1125333,4067091,14461173,
%T 50723091,175867605,603736659,2054728053,6940088019,23284024533,
%U 77651501715,257577229557,850273182099,2794463987157,9147385165779
%N Number of defective 3-colorings of a 2Xn 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order
%C Row 2 of A229694
%H R. H. Hardin, <a href="/A229695/b229695.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -27*a(n-2) +27*a(n-3) for n>6.
%F Empirical: G.f. 3*x^2+43*x^3 -x^4*(245-1034*x+1153*x^2) / (3*x-1)^3. - _R. J. Mathar_, Sep 29 2013
%e Some solutions for n=3
%e ..0..1..1....0..1..1....0..1..2....0..1..0....0..0..1....0..1..0....0..0..1
%e ..0..0..1....0..0..2....1..1..0....1..0..1....1..2..2....2..0..0....2..2..0
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 27 2013
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