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A166762 Number of nX3 1..3 arrays containing at least one of each value, and all equal values connected. 0
6, 174, 1548, 8100, 32208, 108456, 327042, 912330, 2403570, 6063738, 14792208, 35140296, 81722988, 186803940, 420988854, 937659294, 2067934782, 4522786278, 9821642100, 21198358092, 45510675048, 97254168192, 206980215882 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..23.

FORMULA

Empirical: a(n) = 11*a(n-1) - 53*a(n-2) + 147*a(n-3) - 259*a(n-4) + 301*a(n-5) - 231*a(n-6) + 113*a(n-7) - 32*a(n-8) + 4*a(n-9).

EXAMPLE

Some solutions for n=4

...2.2.2...2.2.3...1.1.1...1.1.2...1.2.2...1.1.1...2.2.3...2.3.3...3.3.3

...1.1.2...3.2.3...3.1.1...2.2.2...3.3.2...1.3.3...2.3.3...2.3.1...3.1.1

...3.1.2...3.3.3...2.2.1...3.2.2...3.3.2...1.1.1...1.1.3...2.3.1...2.1.2

...3.1.1...3.1.3...1.1.1...3.3.3...2.2.2...2.2.1...1.1.1...2.1.1...2.2.2

------

...1.1.2...2.2.2...1.1.1...1.1.1...3.3.3...3.3.3...2.2.2...3.3.1...2.1.3

...1.1.1...1.1.3...1.1.1...2.1.1...3.3.1...1.3.3...3.2.1...2.3.1...1.1.3

...1.3.3...3.3.3...2.3.1...2.1.3...2.3.3...1.1.3...3.3.1...2.3.3...1.1.1

...1.1.3...3.3.3...2.3.1...1.1.3...2.2.2...1.2.2...1.1.1...2.3.3...1.1.1

CROSSREFS

Sequence in context: A266311 A323820 A317795 * A323279 A214801 A233225

Adjacent sequences:  A166759 A166760 A166761 * A166763 A166764 A166765

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 21 2009

STATUS

approved

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Last modified August 9 09:22 EDT 2022. Contains 356021 sequences. (Running on oeis4.)