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A229507 Number of defective 3-colorings of an n X 5 0..2 array connected diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. 1
0, 1536, 31104, 575424, 9854784, 162171072, 2591476416, 40561000128, 624788738496, 9504256201920, 143120209950144, 2137242728790720, 31692755543246784, 467167909396586688, 6850967848199073216 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A229510.

LINKS

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

FORMULA

Empirical: a(n) = 30*a(n-1) -225*a(n-2) -540*a(n-3) +8748*a(n-4) -9720*a(n-5) -72900*a(n-6) +174960*a(n-7) -104976*a(n-8) for n>9.

Empirical g.f.: 192*x^2*(8 - 78*x - 63*x^2 + 2187*x^3 - 3348*x^4 - 14418*x^5 + 37908*x^6 - 23328*x^7) / ((1 - 15*x + 18*x^2)^2*(1 - 18*x^2)^2). - Colin Barker, Jun 16 2017

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A252419 A179692 A105923 * A203981 A188788 A170793

Adjacent sequences:  A229504 A229505 A229506 * A229508 A229509 A229510

KEYWORD

nonn

AUTHOR

R. H. Hardin Sep 25 2013

STATUS

approved

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Last modified September 27 03:21 EDT 2020. Contains 337380 sequences. (Running on oeis4.)