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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.

A094385 Triangle read by rows: T(n, k) = binomial(2*n, k-1)*binomial(2*n-k-1, n-k)/n for n, k >= 1, and T(n, 0) = 0^n.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 2
6 0
7 2
8 6
9 5
10 0
11 5
12 20
13 28
14 14
15 0
16 14
17 70
18 135
19 120
20 42
21 0
22 42
23 252
24 616
25 770
26 495
27 132
28 0
29 132
30 924
31 2730
32 4368
33 4004
34 2002
35 429
36 0
37 429
38 3432
39 11880
40 23100
41 27300
42 19656
43 8008
44 1430
45 0
46 1430
47 12870
48 51051
49 116688
50 168300
51 157080
52 92820
53 31824
54 4862

List of values

[1, 0, 1, 0, 1, 2, 0, 2, 6, 5, 0, 5, 20, 28, 14, 0, 14, 70, 135, 120, 42, 0, 42, 252, 616, 770, 495, 132, 0, 132, 924, 2730, 4368, 4004, 2002, 429, 0, 429, 3432, 11880, 23100, 27300, 19656, 8008, 1430, 0, 1430, 12870, 51051, 116688, 168300, 157080, 92820, 31824, 4862]