A229591 Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

0, 5632, 119232, 2440692, 47091780, 890824020, 16551428868, 303527605644, 5505540489756, 98960332779288, 1765177724896272, 31280718324457188, 551219288985891468, 9666198588289311180, 168785901193243289256

Offset

1,2

Comments

Row 6 of A229586.

Links

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

Formula

Empirical: a(n) = 60*a(n-1) - 1466*a(n-2) + 19056*a(n-3) - 143515*a(n-4) + 608478*a(n-5) - 957350*a(n-6) - 3924114*a(n-7) + 27201539*a(n-8) - 68079378*a(n-9) + 46537423*a(n-10) + 212613240*a(n-11) - 785654632*a(n-12) + 1389943104*a(n-13) - 1544105168*a(n-14) + 1125401088*a(n-15) - 524553472*a(n-16) + 142135296*a(n-17) - 17040384*a(n-18) for n > 26.

Example

Some solutions for n=3:
  0 1 0   0 1 2   0 1 2   0 1 0   0 1 2   0 1 2   0 0 1
  0 2 1   2 0 1   2 0 2   2 1 2   0 1 0   0 1 2   1 2 1
  2 0 2   2 0 1   1 1 2   2 0 1   0 2 0   2 0 0   0 2 0
  2 1 2   2 1 0   0 1 0   2 0 0   1 2 1   2 1 0   0 2 1
  2 1 2   0 2 0   2 1 0   1 2 1   0 1 2   2 1 0   1 0 2
  0 1 0   0 2 1   0 1 0   1 2 1   0 1 0   0 1 2   2 0 2

Crossrefs

Cf. A229586.

Sequence in context: A031573 A031753 A045128 * A161193 A022010 A201252

Adjacent sequences: A229588 A229589 A229590 * A229592 A229593 A229594

Keyword

nonn

Author

R. H. Hardin, Sep 26 2013

Status

approved