A287972 Number of Dyck paths of semilength n such that no level has more than eight peaks.

1, 1, 2, 5, 14, 42, 132, 429, 1430, 4861, 16794, 58763, 207889, 742192, 2670734, 9676092, 35265848, 129205675, 475578542, 1757747362, 6520738724, 24270689885, 90609301618, 339193083093, 1272910714175, 4787750073615, 18045298493265, 68143016730029

Offset: 0

Author

Alois P. Heinz, Jun 03 2017

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Wikipedia, Counting lattice paths

Crossrefs

Column k=8 of A287847.

Cf. A000108.

Formula

a(n) = A287847(n,8).

a(n) = A000108(n) for n <= 8.