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.

A287972 Number of Dyck paths of semilength n such that no level has more than eight peaks.

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%I A287972 #6 Jun 03 2017 19:04:15
%S A287972 1,1,2,5,14,42,132,429,1430,4861,16794,58763,207889,742192,2670734,
%T A287972 9676092,35265848,129205675,475578542,1757747362,6520738724,
%U A287972 24270689885,90609301618,339193083093,1272910714175,4787750073615,18045298493265,68143016730029
%N A287972 Number of Dyck paths of semilength n such that no level has more than eight peaks.
%H A287972 Alois P. Heinz, <a href="/A287972/b287972.txt">Table of n, a(n) for n = 0..1000</a>
%H A287972 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a>
%F A287972 a(n) = A287847(n,8).
%F A287972 a(n) = A000108(n) for n <= 8.
%Y A287972 Column k=8 of A287847.
%Y A287972 Cf. A000108.
%K A287972 nonn
%O A287972 0,3
%A A287972 _Alois P. Heinz_, Jun 03 2017