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%I #24 Jul 26 2023 17:43:39
%S 1,1,4,17,78,382,1975,10663,59526,340802,1988575,11771619,70465201,
%T 425572175,2589083577,15849320663,97548380006,603277351699,
%U 3747168602548,23367880883262,146262143795248,918597886652632,5787577778959613,36572319110701681,231742772456205071
%N Number of Dyck paths of semilength 2n having exactly n peaks of maximal height.
%H Alois P. Heinz, <a href="/A364030/b364030.txt">Table of n, a(n) for n = 0..100</a>
%F a(n) = A152879(2n,n).
%e a(0) = 1: (), the empty Dyck path.
%e a(1) = 1: //^\\.
%e a(2) = 4: ///^\/^\\\, //^\\//^\\, //^\/^\\/\, /\//^\/^\\.
%Y Cf. A000108, A152879.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jul 25 2023
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