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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A288543 Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals four.

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%I A288543 #5 Jun 12 2017 11:38:40
%S A288543 1,0,0,0,0,5,56,240,620,1220,2201,4501,14231,67597,332768,1455695,
%T A288543 5611277,19525749,63217514,197236391,617466587,2015606482,7005348816,
%U A288543 25768091554,97973413377,375778678054,1431049415936,5374397862025,19899453137028,72900123590938
%N A288543 Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals four.
%H A288543 Alois P. Heinz, <a href="/A288543/b288543.txt">Table of n, a(n) for n = 4..300</a>
%H A288543 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%Y A288543 Column k=4 of A288387.
%Y A288543 Cf. A000108.
%K A288543 nonn
%O A288543 4,6
%A A288543 _Alois P. Heinz_, Jun 11 2017