%I #8 Apr 28 2021 01:23:45
%S 0,40,626,5077,35825,230383,1400413,8184819,46455457,257724695,
%T 1403839397,7532391243,39908047865,209177764015,1086276818845,
%U 5595663437379,28620024582289,145460267764487,735134318022101
%N Number of defective 3-colorings of a 3 X n 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.
%C Row 3 of A229694.
%H R. H. Hardin, <a href="/A229696/b229696.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) - 81*a(n-2) + 185*a(n-3) - 162*a(n-4) + 60*a(n-5) - 8*a(n-6) for n > 10.
%e Some solutions for n=3:
%e 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0
%e 0 1 1 2 0 0 1 2 0 0 2 0 1 2 0 0 1 2 2 0 2
%e 2 1 0 2 1 2 0 2 1 0 1 2 1 1 2 1 2 1 1 1 0
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 27 2013
|