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A216724 Triangle read by rows: number of permutations of [1..n] with k modular progressions of rise 2, distance 1 and length 3 (n >= 3, k >= 0). 2
3, 3, 24, 0, 100, 15, 0, 5, 594, 108, 18, 0, 4389, 504, 119, 21, 0, 7, 35744, 3520, 960, 64, 32, 0, 325395, 31077, 5238, 927, 207, 27, 0, 9, 3288600, 288300, 42050, 8800, 900, 100, 50, 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..42.

EXAMPLE

Triangle begins:

3 3

24 0

100 15 0 5

594 108 18 0

4389 504 119 21 0 7

35744 3520 960 64 32 0

325395 31077 5238 927 207 27 0 9

3288600 288300 42050 8800 900 100 50 0

...

CROSSREFS

Cf. A216716, A216718, A216719, A216722, A216725.

Sequence in context: A255355 A201133 A036114 * A219909 A092864 A183894

Adjacent sequences:  A216721 A216722 A216723 * A216725 A216726 A216727

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Sep 15 2012

STATUS

approved

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Last modified October 14 08:54 EDT 2019. Contains 327995 sequences. (Running on oeis4.)