A364030 Number of Dyck paths of semilength 2n having exactly n peaks of maximal height.

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

Alois P. Heinz, Table of n, a(n) for n = 0..100

Formula

a(n) = A152879(2n,n).

Example

a(0) = 1: (), the empty Dyck path.
a(1) = 1: //^\\.
a(2) = 4: ///^\/^\\\, //^\\//^\\, //^\/^\\/\, /\//^\/^\\.

Crossrefs

Cf. A000108, A152879.

Sequence in context: A257072 A193782 A361454 * A053486 A151249 A289924

Adjacent sequences: A364027 A364028 A364029 * A364031 A364032 A364033

Keyword

nonn

Author

Alois P. Heinz, Jul 25 2023

Status

approved