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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.

A100100 Triangle T(n,k) = binomial(2*n-k-1, n-k) read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 3
4 2
5 1
6 10
7 6
8 3
9 1
10 35
11 20
12 10
13 4
14 1
15 126
16 70
17 35
18 15
19 5
20 1
21 462
22 252
23 126
24 56
25 21
26 6
27 1
28 1716
29 924
30 462
31 210
32 84
33 28
34 7
35 1
36 6435
37 3432
38 1716
39 792
40 330
41 120
42 36
43 8
44 1
45 24310
46 12870
47 6435
48 3003
49 1287
50 495
51 165
52 45
53 9
54 1
55 92378
56 48620
57 24310
58 11440
59 5005
60 2002

List of values

[1, 1, 1, 3, 2, 1, 10, 6, 3, 1, 35, 20, 10, 4, 1, 126, 70, 35, 15, 5, 1, 462, 252, 126, 56, 21, 6, 1, 1716, 924, 462, 210, 84, 28, 7, 1, 6435, 3432, 1716, 792, 330, 120, 36, 8, 1, 24310, 12870, 6435, 3003, 1287, 495, 165, 45, 9, 1, 92378, 48620, 24310, 11440, 5005, 2002]