%I #6 Sep 28 2013 18:38:33
%S 3,245,5077,80757,1125333,14461173,175867605,2054728053,23284024533,
%T 257577229557,2794463987157,29833314755445,314218549864917,
%U 3271569607417077,33725758239805653,344669380723927413
%N Number of defective 3-colorings of an nX4 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order
%C Column 4 of A229694
%H R. H. Hardin, <a href="/A229690/b229690.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 27*a(n-1) -243*a(n-2) +729*a(n-3) for n>4.
%F Empirical: g.f. 3*x-x^2*(245-1538*x+3213*x^2) / (9*x-1)^3. - _R. J. Mathar_, Sep 29 2013
%e Some solutions for n=3
%e ..0..0..1..0....0..1..0..2....0..1..2..0....0..1..2..1....0..1..0..2
%e ..1..0..1..2....2..1..0..0....0..1..0..2....0..2..0..2....2..1..0..1
%e ..1..0..0..2....2..0..1..2....0..1..2..1....0..1..1..2....2..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 27 2013