A177605 Number of permutations of 3 copies of 1..n avoiding adjacent step pattern up, up, up, up.

1, 1, 20, 1680, 369600, 166923119, 134612399509, 176468898415460, 351456009607660440, 1010384984894493146400, 4028532188816344883922611, 21572165225621811583520157531, 151100918612288209338643024889160, 1354217120536797195675961944817053840

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, A177615.

Sequence in context: A177634 A177293 A266738 * A177606 A177617 A177629

Adjacent sequences: A177602 A177603 A177604 * A177606 A177607 A177608

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