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A164745 Number of nXnXn triangular 1..3 arrays with all 1s connected, all 2s connected, all 3s connected, 1 at the top vertex, 2 at the lower left, and 3 at the lower right, and no value having more than 3 identical values adjacent 0
1, 17, 105, 570, 3634, 30894, 360936 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..8.

EXAMPLE

Some solutions for n=4

......1..........1..........1..........1..........1..........1..........1....

.....2.1........1.3........2.2........1.3........1.1........3.3........1.1...

....2.1.1......1.1.3......2.3.2......3.1.3......3.3.3......3.2.3......2.2.3..

...2.1.3.3....2.3.3.3....2.3.3.3....2.3.3.3....2.2.3.3....2.2.2.3....2.2.3.3.

------

......1..........1..........1..........1..........1..........1..........1....

.....3.1........1.1........2.2........3.1........3.1........1.2........2.1...

....3.1.3......2.2.1......2.3.3......3.1.1......3.3.3......2.2.3......2.2.1..

...2.3.3.3....2.3.3.3....2.2.2.3....2.3.3.3....2.2.2.3....2.2.3.3....2.1.1.3.

CROSSREFS

Sequence in context: A095785 A194131 A194475 * A221938 A121823 A268263

Adjacent sequences: A164742 A164743 A164744 * A164746 A164747 A164748

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 24 2009

STATUS

approved

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Last modified February 8 04:10 EST 2023. Contains 360134 sequences. (Running on oeis4.)