A229696 Number of defective 3-colorings of a 3 X n 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.

0, 40, 626, 5077, 35825, 230383, 1400413, 8184819, 46455457, 257724695, 1403839397, 7532391243, 39908047865, 209177764015, 1086276818845, 5595663437379, 28620024582289, 145460267764487, 735134318022101

Offset

1,2

Comments

Row 3 of A229694.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) - 81*a(n-2) + 185*a(n-3) - 162*a(n-4) + 60*a(n-5) - 8*a(n-6) for n > 10.

Example

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

Crossrefs

Sequence in context: A002847 A057808 A269778 * A247410 A183464 A359932

Adjacent sequences: A229693 A229694 A229695 * A229697 A229698 A229699

Keyword

nonn

Author

R. H. Hardin, Sep 27 2013

Status

approved