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A229641 Number of defective 3-colorings of a 5 X n 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. 1
0, 925, 8800, 89331, 960325, 9722206, 98015235, 960209886, 9295982009, 88583128280, 835152387679, 7790969750780, 72061578435025, 661325695334298, 6028108188010041, 54611818274641520, 492062341420006203 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 5 of A229637.

LINKS

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

FORMULA

Empirical: a(n) = 18*a(n-1) - 15*a(n-2) - 1191*a(n-3) + 3468*a(n-4) + 31983*a(n-5) - 108707*a(n-6) - 424479*a(n-7) + 1614489*a(n-8) + 2851598*a(n-9) - 13478352*a(n-10) - 7797810*a(n-11) + 66347438*a(n-12) - 12632640*a(n-13) - 190067859*a(n-14) + 147888798*a(n-15) + 287096430*a(n-16) - 412178619*a(n-17) - 138135927*a(n-18) + 522690894*a(n-19) - 168525432*a(n-20) - 273411640*a(n-21) + 227616084*a(n-22) + 9610272*a(n-23) - 73617984*a(n-24) + 21460464*a(n-25) + 7359984*a(n-26) - 4611168*a(n-27) + 186624*a(n-28) + 279936*a(n-29) - 46656*a(n-30) for n > 33.

EXAMPLE

Some solutions for n=3:

  0 1 2   0 1 0   0 1 2   0 1 1   0 1 0   0 1 2   0 1 2

  2 1 2   2 1 2   0 1 2   0 1 0   0 2 0   0 1 0   2 1 0

  1 0 2   2 0 2   0 2 0   2 1 2   0 2 0   2 2 0   2 1 2

  2 1 2   2 0 1   0 2 1   2 0 2   0 2 1   0 2 0   0 1 0

  2 1 0   0 2 1   1 0 1   1 0 2   2 0 1   1 2 0   1 1 2

CROSSREFS

Sequence in context: A325141 A244169 A245791 * A147548 A116989 A152503

Adjacent sequences:  A229638 A229639 A229640 * A229642 A229643 A229644

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 27 2013

STATUS

approved

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Last modified September 17 12:26 EDT 2021. Contains 347477 sequences. (Running on oeis4.)