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.

A281000 Triangle read by rows: T(n,k) = binomial(2*n+1, 2*k+1)*binomial(2*n-2*k, n-k)/(n+1-k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 3
2 1
3 10
4 10
5 1
6 35
7 70
8 21
9 1
10 126
11 420
12 252
13 36
14 1
15 462
16 2310
17 2310
18 660
19 55
20 1
21 1716
22 12012
23 18018
24 8580
25 1430
26 78
27 1
28 6435
29 60060
30 126126
31 90090
32 25025
33 2730
34 105
35 1
36 24310
37 291720
38 816816
39 816816
40 340340
41 61880
42 4760
43 136
44 1
45 92378
46 1385670
47 4988412
48 6651216
49 3879876
50 1058148
51 135660
52 7752
53 171
54 1

List of values

[1, 3, 1, 10, 10, 1, 35, 70, 21, 1, 126, 420, 252, 36, 1, 462, 2310, 2310, 660, 55, 1, 1716, 12012, 18018, 8580, 1430, 78, 1, 6435, 60060, 126126, 90090, 25025, 2730, 105, 1, 24310, 291720, 816816, 816816, 340340, 61880, 4760, 136, 1, 92378, 1385670, 4988412, 6651216, 3879876, 1058148, 135660, 7752, 171, 1]