A177615 Number of permutations of 3 copies of 1..n avoiding adjacent step pattern up, up, up, up, up.

1, 1, 20, 1680, 369600, 168168000, 137127810959, 182138398520387, 367988956112888200, 1074073326771101149080, 4350318942513425384777400, 23673963203663687592089088600, 168569155472096397352266896207243, 1536148007688582239667327040442799059

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Mingjia Yang and Doron Zeilberger, Increasing Consecutive Patterns in Words, arXiv:1805.06077 [math.CO], 2018.

Mingjia Yang, An experimental walk in patterns, partitions, and words, Ph. D. Dissertation, Rutgers University (2020).

Crossrefs

Cf. A014606.

Cf. A177596, A177605.

Sequence in context: A177629 A177630 A177294 * A177616 A177295 A177635

Adjacent sequences: A177612 A177613 A177614 * A177616 A177617 A177618

Keyword

nonn

Author

R. H. Hardin, May 10 2010

Extensions

a(10)-a(13) from Alois P. Heinz, Aug 08 2018

Status

approved