%I #10 Mar 17 2018 05:45:38
%S 0,6,39,202,925,3924,15795,61182,230121,845640,3049407,10825650,
%T 37929141,131403708,450839115,1533738726,5178892545,17371743408,
%U 57926537559,192131864730,634207340493,2084322230820,6822862231779,22252658047182
%N Number of defective 3colorings of an n X 2 0..2 array connected horizontally and vertically with exactly two mistakes, and colors introduced in rowmajor 0..2 order.
%C Column 2 of A229606.
%H R. H. Hardin, <a href="/A229600/b229600.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n1)  27*a(n2) + 27*a(n3) for n>5.
%F Conjectures from _Colin Barker_, Mar 16 2018: (Start)
%F G.f.: x^2*(6  15*x + 13*x^2  2*x^3) / (1  3*x)^3.
%F a(n) = 3^(n5) * (31*n+32*n^230) for n>2.
%F (End)
%e Some solutions for n=3:
%e 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1
%e 1 2 2 0 0 1 0 1 1 2 2 1 2 2 1 1 2 2 2 2
%e 1 2 2 0 2 0 1 2 2 2 2 0 1 1 2 0 0 2 2 0
%Y Cf. A229606.
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 26 2013
