A229532 Number of defective 3-colorings of an n X 6 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

40, 368, 7460, 130854, 2171944, 34811238, 544403948, 8359264560, 126546766896, 1894158617022, 28090954101848, 413405522888606, 6044542909770790, 87888904584082718, 1271780829814090170, 18325726435067557004

Offset

1,1

Comments

Column 6 of A229534.

Links

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

Formula

Empirical: a(n) = 36*a(n-1) - 436*a(n-2) + 1854*a(n-3) + 340*a(n-4) - 19128*a(n-5) + 23849*a(n-6) + 56184*a(n-7) - 108224*a(n-8) - 40816*a(n-9) + 160400*a(n-10) - 34136*a(n-11) - 83203*a(n-12) + 42628*a(n-13) + 6468*a(n-14) - 6334*a(n-15) + 204*a(n-16) + 240*a(n-17) - 25*a(n-18) for n > 19.

Example

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

Crossrefs

Cf. A229534.

Sequence in context: A285919 A234913 A190312 * A252180 A008355 A229716

Adjacent sequences: A229529 A229530 A229531 * A229533 A229534 A229535

Keyword

nonn

Author

R. H. Hardin, Sep 25 2013

Status

approved