A229683 Number of defective 3-colorings of an n X 6 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.

0, 17280, 959040, 35485776, 1138164048, 33555543408, 937213830720, 25175909234736, 656711865897408, 16739441074986336, 418806827449472592, 10318185686783039760, 250943458030201728144, 6036117745064710768416

Offset

1,2

Comments

Column 6 of A229685.

Links

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

Formula

Empirical: a(n) = 75*a(n-1) - 2010*a(n-2) + 19486*a(n-3) + 60075*a(n-4) - 2206575*a(n-5) + 7404210*a(n-6) + 70536825*a(n-7) - 435322350*a(n-8) - 601275555*a(n-9) + 8082823950*a(n-10) - 6257717775*a(n-11) - 54520532190*a(n-12) + 92909172825*a(n-13) + 132368667075*a(n-14) - 366499782594*a(n-15) + 470715894135*a(n-17) - 282429536481*a(n-18) for n > 20.

Example

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

Crossrefs

Sequence in context: A094413 A209967 A093790 * A228379 A230164 A001381

Adjacent sequences: A229680 A229681 A229682 * A229684 A229685 A229686

Keyword

nonn

Author

R. H. Hardin, Sep 27 2013

Status

approved