A229699 Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.

0, 14080, 539568, 14461173, 342532665, 7551515197, 159377253183, 3259483737876, 65096269054893, 1275742582477605, 24619023091178172, 469011723417138726, 8837860575136215933, 164977425368113931622, 3054546692947278299664

Offset

1,2

Comments

Row 6 of A229694.

Links

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

Formula

Empirical: a(n) = 93*a(n-1) - 3821*a(n-2) + 91881*a(n-3) - 1443186*a(n-4) + 15597045*a(n-5) - 117977554*a(n-6) + 609544785*a(n-7) - 1876860224*a(n-8) + 672776487*a(n-9) + 25778362941*a(n-10) - 141476097204*a(n-11) + 370797282552*a(n-12) - 240042337335*a(n-13) - 2043251213592*a(n-14) + 9124472514798*a(n-15) - 19258050947535*a(n-16) + 16290852033186*a(n-17) + 33202946615828*a(n-18) - 157802120078712*a(n-19) + 340033091646544*a(n-20) - 501365137481568*a(n-21) + 551133229309632*a(n-22) - 463504649118336*a(n-23) + 298842654582272*a(n-24) - 145678126101504*a(n-25) + 52056403136512*a(n-26) - 12877220044800*a(n-27) + 1971231621120*a(n-28) - 140685410304*a(n-29) for n > 39.

Example

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

Crossrefs

Cf. A229694.

Sequence in context: A248999 A251612 A252290 * A181963 A140708 A218816

Adjacent sequences: A229696 A229697 A229698 * A229700 A229701 A229702

Keyword

nonn

Author

R. H. Hardin, Sep 27 2013

Status

approved