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A287971 Number of Dyck paths of semilength n such that no level has more than seven peaks. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = A287847(n,7).
a(n) = A000108(n) for n <= 7.
CROSSREFS
Column k=7 of A287847.
Cf. A000108.
Sequence in context: A054394 A261590 A036769 * A033191 A261591 A291823
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 03 2017
STATUS
approved

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Last modified March 28 15:28 EDT 2024. Contains 371254 sequences. (Running on oeis4.)