%I
%S 2,42,420,3328,23964,163528,1077588,6927888,43728652,272112472,
%T 1674170052,10205294240,61731029116,370982129640,2217078993972,
%U 13186003918640,78093132909036,460783597042808,2709856102785444
%N Number of defective 4colorings of an n X 3 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in rowmajor 0..3 order.
%H R. H. Hardin, <a href="/A229474/b229474.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n1)  65*a(n2) + 112*a(n3)  64*a(n4) for n>5.
%F Empirical g.f.: 2*x*(1 + 7*x  19*x^2  23*x^3 + 48*x^4) / (1  7*x + 8*x^2)^2.  _Colin Barker_, Sep 18 2018
%e Some solutions for n=4:
%e ..0..0..1....0..1..0....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
%e ..2..3..0....2..3..2....3..3..0....3..0..3....3..0..3....3..2..0....2..0..1
%e ..0..2..1....0..1..3....0..2..1....1..3..0....3..1..2....0..3..2....3..2..0
%e ..1..3..2....2..0..3....1..0..2....0..1..3....2..3..0....1..0..3....3..1..2
%Y Column 3 of A229479.
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 24 2013
