%I
%S 1,61,1555,19805,194575,1673561,13271403,99602405,718231671,
%T 5024073665,34312328499,229845418733,1515221386655,9855527727977,
%U 63373619492795,403501000362805,2547056875288967,15956625712036945,99294517974997251
%N Number of defective 4colorings of an nX3 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in rowmajor 0..3 order
%C Column 3 of A229672
%H R. H. Hardin, <a href="/A229667/b229667.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n1) 171*a(n2) +679*a(n3) 1368*a(n4) +1344*a(n5) 512*a(n6) for n>7.
%F Empirical: G.f. x x^2*(61274*x+2419*x^23156*x^31744*x^4+3392*x^5) / (8*x^27*x+1)^3.  _R. J. Mathar_, Sep 29 2013
%e Some solutions for n=3
%e ..0..1..0....0..1..1....0..1..0....0..1..0....0..1..2....0..0..1....0..1..2
%e ..2..3..2....2..3..2....2..3..2....0..2..1....3..1..1....1..2..2....0..0..3
%e ..3..2..0....1..1..0....2..0..2....1..3..1....0..2..3....3..0..3....2..1..2
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 27 2013
