cp's OEIS Frontend

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.

A337841 Triangle read by rows, T(n, k) = binomial(2*n-1, 2*k-1) * binomial(2*n-2*k, n-k) * (k+1) / binomial(n+k+1, n-k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 0
2 2
3 0
4 3
5 3
6 0
7 6
8 10
9 4
10 0
11 14
12 30
13 21
14 5
15 0
16 36
17 90
18 84
19 36
20 6
21 0
22 99
23 275
24 308
25 180
26 55
27 7
28 0
29 286
30 858
31 1092
32 780
33 330
34 78
35 8
36 0
37 858
38 2730
39 3822
40 3150
41 1650
42 546
43 105
44 9
45 0
46 2652
47 8840
48 13328
49 12240
50 7480
51 3094
52 840
53 136
54 10
55 0
56 8398
57 29070
58 46512
59 46512
60 31977
61 15561
62 5320
63 1224
64 171
65 11

List of values

[1, 0, 2, 0, 3, 3, 0, 6, 10, 4, 0, 14, 30, 21, 5, 0, 36, 90, 84, 36, 6, 0, 99, 275, 308, 180, 55, 7, 0, 286, 858, 1092, 780, 330, 78, 8, 0, 858, 2730, 3822, 3150, 1650, 546, 105, 9, 0, 2652, 8840, 13328, 12240, 7480, 3094, 840, 136, 10, 0, 8398, 29070, 46512, 46512, 31977, 15561, 5320, 1224, 171, 11]