A229537 Number of defective 3-colorings of a 4 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

0, 84, 356, 3064, 19276, 130854, 833108, 5305746, 33122792, 205196216, 1258781344, 7670081250, 46440194380, 279724889174, 1677103031212, 10014905982560, 59591710277588, 353467715910526, 2090642805771012, 12333845570879546

Offset

1,2

Comments

Row 4 of A229534.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) + 23*a(n-2) - 102*a(n-3) - 288*a(n-4) + 250*a(n-5) + 787*a(n-6) - 238*a(n-7) - 741*a(n-8) + 124*a(n-9) + 196*a(n-10) - 16*a(n-11) - 16*a(n-12) for n > 14.

Example

Some solutions for n=4:
  0 1 0 1     0 1 0 2     0 1 0 1     0 1 0 1     0 1 0 2
  0 1 0 2     2 1 0 1     0 2 0 2     2 1 0 1     0 1 0 1
  0 2 1 2     0 2 0 1     1 2 1 2     0 1 0 1     2 1 0 2
  1 2 1 0     0 2 0 2     0 2 0 0     2 2 0 2     0 2 0 1

Crossrefs

Cf. A229534.

Sequence in context: A210645 A241612 A227708 * A083986 A189543 A251300

Adjacent sequences: A229534 A229535 A229536 * A229538 A229539 A229540

Keyword

nonn

Author

R. H. Hardin, Sep 25 2013

Status

approved