A287974 Number of Dyck paths of semilength n such that no level has more than ten peaks.

1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58785, 208010, 742873, 2674282, 9693840, 35351966, 129613793, 477477188, 1766446640, 6560091544, 24446776958, 91389820234, 342624437057, 1287886748877, 4852692487519, 18325298874477, 69344013520559

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Wikipedia, Counting lattice paths

Formula

a(n) = A287847(n,10).

a(n) = A000108(n) for n <= 10.

Crossrefs

Column k=10 of A287847.

Cf. A000108.

Sequence in context: A291824 A287973 A291825 * A115140 A120588 A168491

Adjacent sequences: A287971 A287972 A287973 * A287975 A287976 A287977

Keyword

nonn

Author

Alois P. Heinz, Jun 03 2017

Status

approved