cp's OEIS Frontend

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.

A287973 Number of Dyck paths of semilength n such that no level has more than nine peaks.

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%I A287973 #6 Jun 03 2017 19:03:38
%S A287973 1,1,2,5,14,42,132,429,1430,4862,16795,58784,207987,742760,2673592,
%T A287973 9690220,35333404,129522165,477035494,1764359882,6550391672,
%U A287973 24402303601,91188289504,341720434791,1283867554724,4834962472637,18247627360326,69005857450243
%N A287973 Number of Dyck paths of semilength n such that no level has more than nine peaks.
%H A287973 Alois P. Heinz, <a href="/A287973/b287973.txt">Table of n, a(n) for n = 0..1000</a>
%H A287973 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%F A287973 a(n) = A287847(n,9).
%F A287973 a(n) = A000108(n) for n <= 9.
%Y A287973 Column k=9 of A287847.
%Y A287973 Cf. A000108.
%K A287973 nonn
%O A287973 0,3
%A A287973 _Alois P. Heinz_, Jun 03 2017