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A229474 Number of defective 4-colorings of an n X 3 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order. 1

%I

%S 2,42,420,3328,23964,163528,1077588,6927888,43728652,272112472,

%T 1674170052,10205294240,61731029116,370982129640,2217078993972,

%U 13186003918640,78093132909036,460783597042808,2709856102785444

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

%H R. H. Hardin, <a href="/A229474/b229474.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) - 65*a(n-2) + 112*a(n-3) - 64*a(n-4) for n>5.

%F Empirical g.f.: 2*x*(1 + 7*x - 19*x^2 - 23*x^3 + 48*x^4) / (1 - 7*x + 8*x^2)^2. - _Colin Barker_, Sep 18 2018

%e Some solutions for n=4:

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

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

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

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

%Y Column 3 of A229479.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 24 2013

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Last modified September 20 00:42 EDT 2021. Contains 347577 sequences. (Running on oeis4.)