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.

A191522 Number of valleys in all left factors of Dyck paths of length n. A valley is a (1,-1)-step followed by a (1,1)-step.

Table of values

n a(n)
0 0
1 0
2 0
3 1
4 3
5 8
6 20
7 45
8 105
9 224
10 504
11 1050
12 2310
13 4752
14 10296
15 21021
16 45045
17 91520
18 194480
19 393822
20 831402
21 1679600
22 3527160
23 7113106
24 14872858
25 29953728
26 62403600
27 125550100
28 260757900
29 524190240
30 1085822640
31 2181340125
32 4508102925
33 9051563520
34 18668849760

List of values

[0, 0, 0, 1, 3, 8, 20, 45, 105, 224, 504, 1050, 2310, 4752, 10296, 21021, 45045, 91520, 194480, 393822, 831402, 1679600, 3527160, 7113106, 14872858, 29953728, 62403600, 125550100, 260757900, 524190240, 1085822640, 2181340125, 4508102925, 9051563520, 18668849760]