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A216718 Triangle read by rows: number of circular permutations of [1..n] with k progressions of rise 1, distance 1 and length 3 (n >= 3, k >= 0). 6
1, 1, 5, 0, 1, 20, 3, 0, 1, 102, 14, 3, 0, 1, 627, 72, 17, 3, 0, 1, 4461, 468, 87, 20, 3, 0, 1, 36155, 3453, 582, 103, 23, 3, 0, 1, 328849, 28782, 4395, 704, 120, 26, 3, 0, 1, 3317272, 267831, 37257, 5435, 834, 138, 29, 3, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,3

REFERENCES

Wayne M. Dymacek, Isaac Lambert and Kyle Parsons, Arithmetic Progressions in Permutations, http://math.ku.edu/~ilambert/CN.pdf, 2012.

LINKS

Table of n, a(n) for n=3..56.

EXAMPLE

Triangle begins:

1 1 [this is row n=3]

5 0 1

20 3 0 1

102 14 3 0 1

627 72 17 3 0 1

4461 468 87 20 3 0 1

36155 3453 582 103 23 3 0 1

328849 28782 4395 704 120 26 3 0 1

3317272 267831 37257 5435 834 138 29 3 0 1

...

CROSSREFS

Cf. A216716, A216717, A165961, A180187.

Sequence in context: A222061 A064315 A227322 * A184180 A256069 A267480

Adjacent sequences:  A216715 A216716 A216717 * A216719 A216720 A216721

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Sep 15 2012

STATUS

approved

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Last modified September 17 06:52 EDT 2019. Contains 327119 sequences. (Running on oeis4.)