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A229591
Number of defective 3-colorings of a 6 X n 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.
1
0, 5632, 119232, 2440692, 47091780, 890824020, 16551428868, 303527605644, 5505540489756, 98960332779288, 1765177724896272, 31280718324457188, 551219288985891468, 9666198588289311180, 168785901193243289256
OFFSET
1,2
COMMENTS
Row 6 of A229586.
LINKS
FORMULA
Empirical: a(n) = 60*a(n-1) - 1466*a(n-2) + 19056*a(n-3) - 143515*a(n-4) + 608478*a(n-5) - 957350*a(n-6) - 3924114*a(n-7) + 27201539*a(n-8) - 68079378*a(n-9) + 46537423*a(n-10) + 212613240*a(n-11) - 785654632*a(n-12) + 1389943104*a(n-13) - 1544105168*a(n-14) + 1125401088*a(n-15) - 524553472*a(n-16) + 142135296*a(n-17) - 17040384*a(n-18) for n > 26.
EXAMPLE
Some solutions for n=3:
0 1 0 0 1 2 0 1 2 0 1 0 0 1 2 0 1 2 0 0 1
0 2 1 2 0 1 2 0 2 2 1 2 0 1 0 0 1 2 1 2 1
2 0 2 2 0 1 1 1 2 2 0 1 0 2 0 2 0 0 0 2 0
2 1 2 2 1 0 0 1 0 2 0 0 1 2 1 2 1 0 0 2 1
2 1 2 0 2 0 2 1 0 1 2 1 0 1 2 2 1 0 1 0 2
0 1 0 0 2 1 0 1 0 1 2 1 0 1 0 0 1 2 2 0 2
CROSSREFS
Cf. A229586.
Sequence in context: A031573 A031753 A045128 * A161193 A022010 A201252
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 26 2013
STATUS
approved