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.

A114508 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k ascents of length 4 (0<=k<=floor(n/4)). Also number of ordered trees with n edges which have k vertices of outdegree 4.

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 13
5 1
6 37
7 5
8 111
9 21
10 345
11 84
12 1104
13 322
14 4
15 3611
16 1215
17 36
18 12016
19 4555
20 225
21 40548
22 17028
23 1210
24 138414
25 63636
26 5940
27 22
28 477076
29 238004
30 27534
31 286
32 1657956
33 891268
34 122850
35 2366
36 5802920
37 3342375
38 533625
39 15925
40 20436910
41 12552580

List of values

[1, 1, 2, 5, 13, 1, 37, 5, 111, 21, 345, 84, 1104, 322, 4, 3611, 1215, 36, 12016, 4555, 225, 40548, 17028, 1210, 138414, 63636, 5940, 22, 477076, 238004, 27534, 286, 1657956, 891268, 122850, 2366, 5802920, 3342375, 533625, 15925, 20436910, 12552580]