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.

A238125 Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having exactly k flat steps, n>=0, 0<=k<=n.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 1
5 0
6 2
7 1
8 1
9 0
10 4
11 3
12 2
13 1
14 0
15 9
16 8
17 6
18 2
19 1
20 0
21 22
22 24
23 17
24 9
25 3
26 1
27 0
28 59
29 70
30 57
31 29
32 13
33 3
34 1
35 0
36 170
37 224
38 191
39 108
40 49
41 17
42 4
43 1
44 0
45 516
46 744
47 663
48 399
49 201
50 69
51 23
52 4
53 1
54 0
55 1658
56 2588
57 2415
58 1573
59 802
60 322
61 104
62 28
63 5
64 1
65 0
66 5583
67 9317
68 9108
69 6249
70 3343
71 1408
72 510
73 137
74 35
75 5
76 1
77 0

List of values

[1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 4, 3, 2, 1, 0, 9, 8, 6, 2, 1, 0, 22, 24, 17, 9, 3, 1, 0, 59, 70, 57, 29, 13, 3, 1, 0, 170, 224, 191, 108, 49, 17, 4, 1, 0, 516, 744, 663, 399, 201, 69, 23, 4, 1, 0, 1658, 2588, 2415, 1573, 802, 322, 104, 28, 5, 1, 0, 5583, 9317, 9108, 6249, 3343, 1408, 510, 137, 35, 5, 1, 0]