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Number of defective 4-colorings of an n X 6 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order.
1

%I #9 Apr 27 2021 21:20:44

%S 70,6528,163528,3443856,68447552,1317269920,24789931648,458660072320,

%T 8372724171776,151187740303744,2705657277058944,48058690681295360,

%U 848221955477981184,14889405383369853440,260129746409903380480

%N Number of defective 4-colorings of an n X 6 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order.

%C Column 6 of A229479.

%H R. H. Hardin, <a href="/A229477/b229477.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A229477/a229477.txt">Empirical recurrence of order 42</a>

%F Empirical recurrence of order 42 (see link above).

%e Some solutions for n=3:

%e 0 1 2 0 1 0 0 1 2 1 2 0 0 1 2 3 1 3 0 1 2 3 0 2

%e 2 0 1 0 2 1 2 3 0 3 1 3 2 0 1 0 2 0 2 3 1 2 1 3

%e 3 2 3 1 3 2 1 1 2 0 2 1 3 2 3 2 1 3 1 2 0 1 2 1

%Y Cf. A229479.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 24 2013