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

Author

Alois P. Heinz, Jul 25 2023

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A000108, A152879.

Formula

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