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A287967 Number of Dyck paths of semilength n such that no level has more than three peaks. 2
1, 1, 2, 5, 13, 40, 119, 376, 1202, 3916, 12920, 42974, 143989, 485623, 1646056, 5601850, 19127858, 65491001, 224750426, 772816118, 2661800949, 9180835248, 31703037147, 109586025511, 379124973003, 1312592051481, 4547284385059, 15761969520682, 54660238286990 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Manosij Ghosh Dastidar and Michael Wallner, Bijections and congruences involving lattice paths and integer compositions, arXiv:2402.17849 [math.CO], 2024. See p. 19.
FORMULA
a(n) = A287847(n,3).
a(n) = A000108(n) for n <= 3.
CROSSREFS
Column k=3 of A287847.
Cf. A000108.
Sequence in context: A127986 A255600 A320809 * A133448 A149862 A149863
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 03 2017
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)