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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.

A288539 Number of Dyck paths of semilength n such that at least one positive level has no peaks.

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%I A288539 #12 Jun 11 2017 15:57:29
%S A288539 1,0,1,2,8,25,83,282,971,3386,11940,42504,152546,551426,2005930,
%T A288539 7337901,26976726,99618976,369349607,1374391706,5131186060,
%U A288539 19214759396,72152791729,271629133830,1024989876797,3876208984221,14688301498888,55763768987236,212077310097784
%N A288539 Number of Dyck paths of semilength n such that at least one positive level has no peaks.
%C A288539 a(0) = 1 by convention.
%H A288539 Alois P. Heinz, <a href="/A288539/b288539.txt">Table of n, a(n) for n = 0..300</a>
%H A288539 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%e A288539 : a(3) = 2:
%e A288539 :                 /\
%e A288539 :        /\/\    /  \
%e A288539 :       /    \  /    \  .
%Y A288539 Column k=0 of A288387.
%Y A288539 Cf. A000108.
%K A288539 nonn
%O A288539 0,4
%A A288539 _Alois P. Heinz_, Jun 11 2017