A229590 Number of defective 3-colorings of a 5 X n 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

0, 1152, 16416, 224532, 2865780, 35690460, 435326724, 5230362804, 62078234652, 729497509476, 8501915068020, 98397780931572, 1132075322344044, 12958123181386308, 147663327988334916, 1676107610928542292

Offset

1,2

Comments

Row 5 of A229586.

Links

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

Formula

Empirical: a(n) = 32*a(n-1) - 384*a(n-2) + 2200*a(n-3) - 6494*a(n-4) + 9016*a(n-5) - 816*a(n-6) - 14888*a(n-7) + 18879*a(n-8) - 5464*a(n-9) - 7472*a(n-10) + 8336*a(n-11) - 3648*a(n-12) + 768*a(n-13) - 64*a(n-14) for n > 18.

Example

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

Crossrefs

Cf. A229586.

Sequence in context: A252438 A179689 A131527 * A269216 A339926 A170775

Adjacent sequences: A229587 A229588 A229589 * A229591 A229592 A229593

Keyword

nonn

Author

R. H. Hardin, Sep 26 2013

Status

approved