login
A287970
Number of Dyck paths of semilength n such that no level has more than six peaks.
2
1, 1, 2, 5, 14, 42, 132, 428, 1428, 4843, 16704, 58311, 205731, 732201, 2625406, 9473836, 34375133, 125325836, 458831723, 1686029403, 6215738207, 22981481106, 85189188184, 316514511424, 1178424867416, 4395603256233, 16423417124023, 61456310687426
OFFSET
0,3
LINKS
FORMULA
a(n) = A287847(n,6).
a(n) = A000108(n) for n <= 6.
CROSSREFS
Column k=6 of A287847.
Cf. A000108.
Sequence in context: A054393 A261589 A036768 * A058094 A080938 A054394
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 03 2017
STATUS
approved