A229692 Number of defective 3-colorings of an n X 6 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.

40, 5077, 230383, 8186713, 258006388, 7551515197, 210095323918, 5632122625852, 146747625919741, 3738362679893995, 93505337317628617, 2303524911169269100, 56025377123719298929, 1347778566401139093298, 32117071054579505478784

Offset

1,1

Comments

Column 6 of A229694.

Links

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

Formula

Empirical: a(n) = 75*a(n-1) - 2145*a(n-2) + 29368*a(n-3) - 205200*a(n-4) + 803115*a(n-5) - 1842183*a(n-6) + 2460375*a(n-7) - 1771470*a(n-8) + 531441*a(n-9) for n > 11.

Example

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

Crossrefs

Sequence in context: A347854 A378234 A259461 * A270053 A123810 A275655

Adjacent sequences: A229689 A229690 A229691 * A229693 A229694 A229695

Keyword

nonn

Author

R. H. Hardin, Sep 27 2013

Status

approved