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Number of defective 3-colorings of an n X 7 0..2 array connected horizontally and vertically with exactly two mistakes, and colors introduced in row-major 0..2 order.
1

%I #9 Apr 27 2021 21:29:04

%S 120,15795,792929,31848813,1153135492,39229935270,1279020266434,

%T 40413033646242,1246326317951687,37697561397216125,

%U 1122224822297521683,32965710304040001780,957481537679788357971,27540249663372893582723

%N Number of defective 3-colorings of an n X 7 0..2 array connected horizontally and vertically with exactly two mistakes, and colors introduced in row-major 0..2 order.

%C Column 7 of A229606.

%H R. H. Hardin, <a href="/A229605/b229605.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A229605/a229605.txt">Empirical recurrence of order 46</a>

%F Empirical recurrence of order 46 (see link above).

%e Some solutions for n=3:

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

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

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

%Y Cf. A229606.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 26 2013