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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.

A380281 Triangle T(n, k) read by rows: T(n, k) = 2^n*binomial(2*n + 1, 2*k + 1) * Pochhammer(1/2, n - k) * Pochhammer(1/2, k).

Table of values

n a(n)
0 1
1 3
2 1
3 15
4 10
5 3
6 105
7 105
8 63
9 15
10 945
11 1260
12 1134
13 540
14 105
15 10395
16 17325
17 20790
18 14850
19 5775
20 945
21 135135
22 270270
23 405405
24 386100
25 225225
26 73710
27 10395
28 2027025
29 4729725
30 8513505
31 10135125
32 7882875
33 3869775
34 1091475
35 135135
36 34459425
37 91891800
38 192972780
39 275675400
40 268017750
41 175429800
42 74220300
43 18378360
44 2027025

List of values

[1, 3, 1, 15, 10, 3, 105, 105, 63, 15, 945, 1260, 1134, 540, 105, 10395, 17325, 20790, 14850, 5775, 945, 135135, 270270, 405405, 386100, 225225, 73710, 10395, 2027025, 4729725, 8513505, 10135125, 7882875, 3869775, 1091475, 135135, 34459425, 91891800, 192972780, 275675400, 268017750, 175429800, 74220300, 18378360, 2027025]