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.

0, 1536, 31104, 575424, 9854784, 162171072, 2591476416, 40561000128, 624788738496, 9504256201920, 143120209950144, 2137242728790720, 31692755543246784, 467167909396586688, 6850967848199073216

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

Cf. A229510.

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