A229635 Number of defective 3-colorings of an n X 6 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.

40, 1608, 28448, 535671, 9722206, 170405645, 2902520386, 48303362606, 788657935296, 12673198849045, 200926746561814, 3149086238797127, 48865266229013882, 751678393470169836, 11474405764402402524

Offset

1,1

Comments

Column 6 of A229637.

Links

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

Formula

Empirical: a(n) = 54*a(n-1) - 1140*a(n-2) + 11637*a(n-3) - 54252*a(n-4) + 33192*a(n-5) + 658756*a(n-6) - 1921212*a(n-7) - 1566516*a(n-8) + 12850374*a(n-9) - 7108644*a(n-10) - 35018232*a(n-11) + 43506046*a(n-12) + 38500440*a(n-13) - 85687812*a(n-14) - 200796*a(n-15) + 75241308*a(n-16) - 31685592*a(n-17) - 25769200*a(n-18) + 20878068*a(n-19) + 213348*a(n-20) - 3655770*a(n-21) + 608916*a(n-22) + 230904*a(n-23) - 61761*a(n-24) - 2790*a(n-25) + 1800*a(n-26) - 125*a(n-27) for n > 30.

Example

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

Crossrefs

Sequence in context: A208082 A009984 A041761 * A278431 A229584 A140702

Adjacent sequences: A229632 A229633 A229634 * A229636 A229637 A229638

Keyword

nonn

Author

R. H. Hardin, Sep 27 2013

Status

approved