A177574 Number of permutations of 2 copies of 1..n avoiding adjacent step pattern up, up, up, up, up.

1, 1, 6, 90, 2520, 113400, 7479361, 679851145, 81464937000, 12443633129640, 2360051647753800, 544135452733303200, 149883590538452902825, 48612505145280415315705, 18337020151083296373118050, 7959571454218402191668618850, 3939389912325851696444898536160

Offset

0,3

Links

Table of n, a(n) for n=0..16.

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. A177558, A177564, A177594.

Sequence in context: A177588 A177589 A177285 * A177575 A177286 A177594

Adjacent sequences: A177571 A177572 A177573 * A177575 A177576 A177577

Keyword

nonn

Author

R. H. Hardin, May 10 2010

Extensions

a(12)-a(14) from Alois P. Heinz, Nov 01 2013

a(0), a(15)-a(16) from Alois P. Heinz, Aug 10 2018

Status

approved