A229538 Number of defective 3-colorings of a 5 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

0, 324, 2038, 24344, 221096, 2171944, 19965136, 184319130, 1664588696, 14941791994, 132720725536, 1171588072850, 10275058180372, 89663150159240, 778803031279908, 6737980364090108, 58088493991210808, 499217935061929964

Offset

1,2

Comments

Row 5 of A229534.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) + 26*a(n-2) - 566*a(n-3) - 123*a(n-4) + 8804*a(n-5) - 4121*a(n-6) - 59620*a(n-7) + 55115*a(n-8) + 183692*a(n-9) - 256127*a(n-10) - 211910*a(n-11) + 498819*a(n-12) - 48036*a(n-13) - 371692*a(n-14) + 214008*a(n-15) + 43848*a(n-16) - 64656*a(n-17) + 8640*a(n-18) + 5184*a(n-19) - 1296*a(n-20) for n > 22.

Example

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

Crossrefs

Cf. A229534.

Sequence in context: A202094 A202486 A305070 * A250437 A064197 A233639

Adjacent sequences: A229535 A229536 A229537 * A229539 A229540 A229541

Keyword

nonn

Author

R. H. Hardin, Sep 25 2013

Status

approved