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.
%I A287970 #6 Jun 03 2017 19:07:22 %S A287970 1,1,2,5,14,42,132,428,1428,4843,16704,58311,205731,732201,2625406, %T A287970 9473836,34375133,125325836,458831723,1686029403,6215738207, %U A287970 22981481106,85189188184,316514511424,1178424867416,4395603256233,16423417124023,61456310687426 %N A287970 Number of Dyck paths of semilength n such that no level has more than six peaks. %H A287970 Alois P. Heinz, <a href="/A287970/b287970.txt">Table of n, a(n) for n = 0..1000</a> %H A287970 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_path#Counting_lattice_paths">Counting lattice paths</a> %F A287970 a(n) = A287847(n,6). %F A287970 a(n) = A000108(n) for n <= 6. %Y A287970 Column k=6 of A287847. %Y A287970 Cf. A000108. %K A287970 nonn %O A287970 0,3 %A A287970 _Alois P. Heinz_, Jun 03 2017