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A229529 Number of defective 3-colorings of an n X 3 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. 1
2, 8, 58, 356, 2038, 11184, 59626, 311260, 1598974, 8110984, 40726290, 202778804, 1002549414, 4926990688, 24088644794, 117243591052, 568394827598, 2745949068600, 13224557927522, 63511978473572, 304253006899190 (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) = 10*a(n-1) - 29*a(n-2) + 20*a(n-3) - 4*a(n-4) for n>5.

Empirical g.f.: 2*x*(1 - 6*x + 18*x^2 - 16*x^3 + 4*x^4) / (1 - 5*x + 2*x^2)^2. - Colin Barker, Sep 18 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Column 3 of A229534.

Sequence in context: A153525 A153553 A191481 * A007347 A185898 A063074

Adjacent sequences:  A229526 A229527 A229528 * A229530 A229531 A229532

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 25 2013

STATUS

approved

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Last modified May 20 20:16 EDT 2019. Contains 323426 sequences. (Running on oeis4.)