%I #7 Sep 19 2018 15:14:29
%S 1,39,396,3040,20714,131345,792929,4618048,26165860,145058507,
%T 790042315,4239980962,22473980838,117862612005,612450538677,
%U 3156938117780,16157454978232,82173962646319,415564115855215,2090880090793526
%N Number of defective 3colorings of an n X 3 0..2 array connected horizontally and vertically with exactly two mistakes, and colors introduced in rowmajor 0..2 order.
%H R. H. Hardin, <a href="/A229601/b229601.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n1)  81*a(n2) + 185*a(n3)  162*a(n4) + 60*a(n5)  8*a(n6) for n>7.
%F Empirical g.f.: x*(1 + 24*x  108*x^2 + 74*x^3 + 137*x^4  127*x^5 + 8*x^6) / (1  5*x + 2*x^2)^3.  _Colin Barker_, Sep 19 2018
%e Some solutions for n=3:
%e ..0..1..0....0..1..1....0..0..1....0..1..2....0..1..1....0..1..0....0..1..2
%e ..0..2..2....0..2..0....2..1..0....1..2..1....2..0..1....1..2..2....1..0..0
%e ..1..0..1....1..0..1....1..2..2....0..1..1....0..1..2....1..0..1....2..0..2
%Y Column 3 of A229606.
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 26 2013
