%I
%S 2,8,58,356,2038,11184,59626,311260,1598974,8110984,40726290,
%T 202778804,1002549414,4926990688,24088644794,117243591052,
%U 568394827598,2745949068600,13224557927522,63511978473572,304253006899190
%N Number of defective 3colorings of an n X 3 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in rowmajor 0..2 order.
%H R. H. Hardin, <a href="/A229529/b229529.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n1)  29*a(n2) + 20*a(n3)  4*a(n4) for n>5.
%F Empirical g.f.: 2*x*(1  6*x + 18*x^2  16*x^3 + 4*x^4) / (1  5*x + 2*x^2)^2.  _Colin Barker_, Sep 18 2018
%e Some solutions for n=4:
%e ..0..1..2....0..1..2....0..1..0....0..1..0....0..1..0....0..1..2....0..1..2
%e ..0..1..2....0..2..0....0..1..0....1..2..0....0..1..0....0..2..0....2..0..2
%e ..2..1..2....0..2..1....0..1..0....0..2..1....1..2..0....0..2..0....1..0..1
%e ..1..0..2....1..2..0....0..2..2....1..2..1....0..2..0....0..2..1....2..0..1
%Y Column 3 of A229534.
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 25 2013
