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Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.
1

%I #10 Apr 28 2021 01:22:53

%S 0,3924,50084,747299,11485716,170405645,2495874984,35693194243,

%T 503332240292,6990933433009,96001895136772,1304362116389856,

%U 17565879194817688,234673938451844201,3113368949256998744

%N Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.

%C Row 6 of A229637.

%H R. H. Hardin, <a href="/A229642/b229642.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A229642/a229642.txt">Empirical recurrence of order 69</a>

%F Empirical recurrence of order 69 (see link above).

%e Some solutions for n=3:

%e 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0

%e 2 1 2 2 1 2 2 1 0 2 1 2 0 1 0 0 2 1 1 2 1

%e 2 1 0 1 1 0 2 0 1 1 0 1 2 0 2 0 1 0 1 0 1

%e 2 1 0 0 2 0 2 0 1 1 0 1 1 0 2 2 1 0 2 0 2

%e 1 2 0 1 2 0 1 0 1 1 0 2 1 0 1 2 1 0 2 1 2

%e 0 2 1 0 2 1 2 0 1 1 0 2 2 0 1 0 1 0 2 0 2

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 27 2013