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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.

A097860 Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k peaks (n>=0, 0<=k<=floor(n/2)).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 2
6 4
7 4
8 1
9 8
10 10
11 3
12 17
13 24
14 9
15 1
16 37
17 58
18 28
19 4
20 82
21 143
22 81
23 16
24 1
25 185
26 354
27 231
28 60
29 5
30 423
31 881
32 653
33 205
34 25
35 1
36 978
37 2204
38 1824
39 676
40 110
41 6
42 2283
43 5534
44 5058
45 2164
46 435
47 36
48 1
49 5373
50 13940
51 13946
52 6756
53 1631
54 182
55 7
56 12735
57 35213
58 38262
59 20710

List of values

[1, 1, 1, 1, 2, 2, 4, 4, 1, 8, 10, 3, 17, 24, 9, 1, 37, 58, 28, 4, 82, 143, 81, 16, 1, 185, 354, 231, 60, 5, 423, 881, 653, 205, 25, 1, 978, 2204, 1824, 676, 110, 6, 2283, 5534, 5058, 2164, 435, 36, 1, 5373, 13940, 13946, 6756, 1631, 182, 7, 12735, 35213, 38262, 20710]