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A229530 Number of defective 3-colorings of an n X 4 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. 1
6, 36, 361, 3064, 24344, 185808, 1379512, 10036352, 71892488, 508702512, 3563926872, 24764330720, 170893859240, 1172387842960, 8002259515128, 54379352988992, 368101566941512, 2483167144168432, 16699758317833368 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 14*a(n-1) - 57*a(n-2) + 56*a(n-3) - 16*a(n-4) for n>5.

Empirical g.f.: x*(6 - 48*x + 199*x^2 - 274*x^3 + 105*x^4) / (1 - 7*x + 4*x^2)^2. - Colin Barker, Sep 18 2018

EXAMPLE

Some solutions for n=4:

..0..1..0..2....0..1..0..2....0..1..2..1....0..1..0..1....0..1..0..2

..0..1..0..1....0..2..0..1....2..1..0..1....0..2..0..2....0..2..0..1

..0..2..0..1....0..1..0..2....2..1..0..2....1..2..1..0....0..1..2..1

..1..1..0..2....0..1..2..1....0..1..2..1....1..2..1..0....2..1..0..1

CROSSREFS

Column 4 of A229534.

Sequence in context: A053335 A222925 A108733 * A265474 A277474 A137889

Adjacent sequences:  A229527 A229528 A229529 * A229531 A229532 A229533

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 25 2013

STATUS

approved

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Last modified June 26 10:12 EDT 2019. Contains 324375 sequences. (Running on oeis4.)