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A216722 Triangle read by rows: number of circular permutations of [1..n] with k modular progressions of rise 1, distance 1 and length 3 (n >= 3, 0 <= k <= n). 4
1, 0, 0, 1, 5, 0, 0, 0, 1, 18, 5, 0, 0, 0, 1, 95, 18, 6, 0, 0, 0, 1, 600, 84, 28, 7, 0, 0, 0, 1, 4307, 568, 116, 40, 8, 0, 0, 0, 1, 35168, 4122, 810, 156, 54, 9, 0, 0, 0, 1, 321609, 33910, 5975, 1100, 205, 70, 10, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,5

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;

       5,     0,    0,    0,   1;

      18,     5,    0,    0,   0,  1;

      95,    18,    6,    0,   0,  0,  1;

     600,    84,   28,    7,   0,  0,  0, 1;

    4307,   568,  116,   40,   8,  0,  0, 0, 1;

   35168,  4122,  810,  156,  54,  9,  0, 0, 0, 1;

  321609, 33910, 5975, 1100, 205, 70, 10, 0, 0, 0, 1;

  ...

CROSSREFS

Columns 1..2 are A165962, A216723.

Row sums are A000142(n-1).

Cf. A216716, A216718, A216719, A165962.

Sequence in context: A325817 A325967 A229656 * A036297 A336530 A087935

Adjacent sequences:  A216719 A216720 A216721 * A216723 A216724 A216725

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Sep 15 2012

STATUS

approved

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Last modified November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)