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A288540 Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals one. 2

%I #7 Jun 11 2017 18:19:18

%S 1,0,2,5,13,35,112,368,1208,3992,13449,46187,160804,565535,2005796,

%T 7168058,25793100,93388250,340005973,1244062960,4572478054,

%U 16874672868,62508259095,232338076267,866289458048,3239350667761,12145345634715,45649270140732

%N Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals one.

%H Alois P. Heinz, <a href="/A288540/b288540.txt">Table of n, a(n) for n = 1..300</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>

%e : a(3) = 2:

%e :

%e : /\ /\

%e : /\/ \ / \/\ .

%Y Column k=1 of A288387.

%Y Cf. A000108.

%K nonn

%O 1,3

%A _Alois P. Heinz_, Jun 11 2017

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Last modified April 25 21:09 EDT 2024. Contains 371989 sequences. (Running on oeis4.)