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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.

A319120 T(n, k) = binomial(n - k - 1, k)*binomial(2*n - 2*k, n)/(n + 1), for n >= 1 and 0 <= k <= floor((n - 1)/2), triangle read by rows.

Table of values

n a(n)
1 1
2 2
3 5
4 1
5 14
6 6
7 42
8 28
9 1
10 132
11 120
12 12
13 429
14 495
15 90
16 1
17 1430
18 2002
19 550
20 20
21 4862
22 8008
23 3003
24 220
25 1
26 16796
27 31824
28 15288
29 1820
30 30
31 58786
32 125970
33 74256
34 12740
35 455
36 1
37 208012
38 497420
39 348840
40 79968
41 4900
42 42

List of values

[1, 2, 5, 1, 14, 6, 42, 28, 1, 132, 120, 12, 429, 495, 90, 1, 1430, 2002, 550, 20, 4862, 8008, 3003, 220, 1, 16796, 31824, 15288, 1820, 30, 58786, 125970, 74256, 12740, 455, 1, 208012, 497420, 348840, 79968, 4900, 42]