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Number of defective 3-colorings of a 7 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.
1

%I #9 Apr 27 2021 21:14:58

%S 0,4212,59626,1379512,26566266,544403948,10551803060,205336122417,

%T 3913347537410,74172957575993,1391260426025666,25942784963976735,

%U 480614597100202422,8860662840757232528,162602761260788194310

%N Number of defective 3-colorings of a 7 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

%C Row 7 of A229534.

%H R. H. Hardin, <a href="/A229540/b229540.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A229540/a229540.txt">Empirical recurrence of order 92</a>

%F Empirical recurrence of order 92 (see link above).

%e Some solutions for n=3:

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

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

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

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

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

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

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

%Y Cf. A229534.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 25 2013