login
A287972
Number of Dyck paths of semilength n such that no level has more than eight peaks.
2
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
0,3
LINKS
FORMULA
a(n) = A287847(n,8).
a(n) = A000108(n) for n <= 8.
CROSSREFS
Column k=8 of A287847.
Cf. A000108.
Sequence in context: A033191 A261591 A291823 * A243838 A242450 A211216
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 03 2017
STATUS
approved