A287971 Number of Dyck paths of semilength n such that no level has more than seven peaks.

1, 1, 2, 5, 14, 42, 132, 429, 1429, 4860, 16775, 58679, 207428, 739970, 2660157, 9627149, 35043221, 128207940, 471160868, 1738387703, 6436639288, 23908119163, 89056620547, 332583259981, 1244920744009, 4669782159158, 17550211110693, 66073189230521

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=7 of A287847.

Cf. A000108.

Formula

a(n) = A287847(n,7).

a(n) = A000108(n) for n <= 7.