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.

A342313 T(n, k) = (n + k - 1)*(n + k)*binomial(2*n + 1, n - k + 1) with T(0, 0) = T(1, 0) = 1. Triangle read by rows, T(n, k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 1
2 6
3 20
4 60
5 60
6 210
7 420
8 420
9 210
10 1512
11 2520
12 2520
13 1512
14 504
15 9240
16 13860
17 13860
18 9240
19 3960
20 990
21 51480
22 72072
23 72072
24 51480
25 25740
26 8580
27 1716
28 270270
29 360360
30 360360
31 270270
32 150150
33 60060
34 16380
35 2730
36 1361360
37 1750320
38 1750320
39 1361360
40 816816
41 371280
42 123760
43 28560
44 4080

List of values

[1, 1, 6, 20, 60, 60, 210, 420, 420, 210, 1512, 2520, 2520, 1512, 504, 9240, 13860, 13860, 9240, 3960, 990, 51480, 72072, 72072, 51480, 25740, 8580, 1716, 270270, 360360, 360360, 270270, 150150, 60060, 16380, 2730, 1361360, 1750320, 1750320, 1361360, 816816, 371280, 123760, 28560, 4080]