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A229696 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. 1

%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

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Last modified May 3 21:07 EDT 2024. Contains 372225 sequences. (Running on oeis4.)