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A216726 Triangle read by rows: number of circular permutations of [1..n] with k modular progressions of rise 1, distance 2 and length 3 (n >= 3, 0 <= k <= n). 1
11, 0, 0, 1, 6, 0, 0, 0, 0, 18, 5, 0, 0, 0, 1, 93, 18, 9, 0, 0, 0, 0, 600, 84, 28, 7, 0, 0, 0, 1, 4320, 512, 192, 0, 16, 0, 0, 0, 0, 35168, 4122, 810, 156, 54, 9, 0, 0, 0, 1, 321630, 34000, 5625, 1400, 200, 0, 25, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

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..62.

EXAMPLE

Triangle begins:

1 0 0 1

6 0 0 0 0

18 5 0 0 0 1

93 18 9 0 0 0 0

600 84 28 7 0 0 0 1

4320 512 192 0 16 0 0 0 0

35168 4122 810 156 54 9 0 0 0 1

321630 34000 5625 1400 200 0 25 0 0 0 0

...

CROSSREFS

Cf. A216716, A216718, A216719, A216722, A216724, A216727.

Sequence in context: A113043 A110408 A179920 * A323169 A143197 A138066

Adjacent sequences:  A216723 A216724 A216725 * A216727 A216728 A216729

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Sep 15 2012

STATUS

approved

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Last modified August 19 04:34 EDT 2019. Contains 326109 sequences. (Running on oeis4.)