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A229506 Number of defective 3-colorings of an n X 4 0..2 array connected diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. 1

%I

%S 0,288,4032,50112,575424,6298560,66764736,691581888,7040530368,

%T 70711413696,702522486720,6917780251584,67615723104192,

%U 656742815497152,6344497107509184,61004779879896000,584181772129884096

%N Number of defective 3-colorings of an n X 4 0..2 array connected diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

%C Column 4 of A229510

%H R. H. Hardin, <a href="/A229506/b229506.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) - 81*a(n-2) for n>4.

%F Conjectures from _Colin Barker_, Jun 16 2017: (Start)

%F G.f.: 288*x^2*(1 - x)*(1 - 3*x) / (1 - 9*x)^2.

%F a(n) = 64*3^(2*n-5)*(8*n - 3) for n>2.

%F (End)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 25 2013

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Last modified October 1 17:45 EDT 2020. Contains 337444 sequences. (Running on oeis4.)