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.

A287971 Number of Dyck paths of semilength n such that no level has more than seven peaks.

This page as a plain text file.
%I A287971 #6 Jun 03 2017 19:05:47
%S A287971 1,1,2,5,14,42,132,429,1429,4860,16775,58679,207428,739970,2660157,
%T A287971 9627149,35043221,128207940,471160868,1738387703,6436639288,
%U A287971 23908119163,89056620547,332583259981,1244920744009,4669782159158,17550211110693,66073189230521
%N A287971 Number of Dyck paths of semilength n such that no level has more than seven peaks.
%H A287971 Alois P. Heinz, <a href="/A287971/b287971.txt">Table of n, a(n) for n = 0..1000</a>
%H A287971 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%F A287971 a(n) = A287847(n,7).
%F A287971 a(n) = A000108(n) for n <= 7.
%Y A287971 Column k=7 of A287847.
%Y A287971 Cf. A000108.
%K A287971 nonn
%O A287971 0,3
%A A287971 _Alois P. Heinz_, Jun 03 2017