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A364030
Number of Dyck paths of semilength 2n having exactly n peaks of maximal height.
2
1, 1, 4, 17, 78, 382, 1975, 10663, 59526, 340802, 1988575, 11771619, 70465201, 425572175, 2589083577, 15849320663, 97548380006, 603277351699, 3747168602548, 23367880883262, 146262143795248, 918597886652632, 5787577778959613, 36572319110701681, 231742772456205071
OFFSET
0,3
LINKS
FORMULA
a(n) = A152879(2n,n).
EXAMPLE
a(0) = 1: (), the empty Dyck path.
a(1) = 1: //^\\.
a(2) = 4: ///^\/^\\\, //^\\//^\\, //^\/^\\/\, /\//^\/^\\.
CROSSREFS
Sequence in context: A257072 A193782 A361454 * A053486 A151249 A289924
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 25 2023
STATUS
approved