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%I #6 Jun 03 2017 19:10:17
%S 1,1,2,5,14,42,131,427,1413,4784,16416,57042,200151,708109,2522559,
%T 9039042,32550884,117725760,427372532,1556523664,5685148711,
%U 20816785068,76390832952,280874946775,1034505345468,3816077176898,14095932284899,52131389039054
%N Number of Dyck paths of semilength n such that no level has more than five peaks.
%H Alois P. Heinz, <a href="/A287969/b287969.txt">Table of n, a(n) for n = 0..1000</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%F a(n) = A287847(n,5).
%F a(n) = A000108(n) for n <= 5.
%Y Column k=5 of A287847.
%Y Cf. A000108.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Jun 03 2017
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