%I
%S 0,6,40,122,488,1608,5392,17368,55232,172896,535296,1641376,4992896,
%T 15083648,45297408,135323008,402405376,1191699968,3516119040,
%U 10339711488,30313351168,88624646144,258445856768,751910639616,2182836600832
%N Number of defective 3colorings of a 2 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in rowmajor 0..2 order.
%H R. H. Hardin, <a href="/A229638/b229638.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n1)  6*a(n2)  16*a(n3) + 12*a(n4) + 24*a(n5) + 8*a(n6).
%F Empirical g.f.: 2*x^2*(1  x)*(3 + 5*x  36*x^2 + 10*x^3) / (1  2*x  2*x^2)^3.  _Colin Barker_, Sep 20 2018
%e Some solutions for n=3:
%e ..0..1..2....0..1..2....0..1..2....0..1..2....0..0..0....0..0..1....0..1..0
%e ..0..1..1....2..0..0....2..0..1....1..1..2....1..2..1....1..0..1....1..1..2
%Y Row 2 of A229637.
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 27 2013
