A177599 Number of permutations of 3 copies of 1..n avoiding adjacent step pattern up, up, up.

1, 1, 20, 1680, 347279, 145417911, 108103451700, 130235191847880, 237916352264650149, 626620767478218488341, 2286998940761680215812180, 11203494211631147331264432480, 71758642346800717617629677669619, 587889139521679290927189491977855371

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.

Sequence in context: A177631 A177292 A266737 * A177600 A177607 A177612

Adjacent sequences: A177596 A177597 A177598 * A177600 A177601 A177602

Keyword

nonn

Author

R. H. Hardin, May 10 2010

Extensions

a(10) from Alois P. Heinz, Nov 01 2013

a(11)-a(13) from Alois P. Heinz, Aug 08 2018

Status

approved