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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.

A089759 Table T(n,k), 0<=k, 0<=n, read by antidiagonals, defined by T(n,k) = (k*n)! / (n!)^k.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 2
8 1
9 1
10 1
11 6
12 6
13 1
14 1
15 1
16 24
17 90
18 20
19 1
20 1
21 1
22 120
23 2520
24 1680
25 70
26 1
27 1
28 1
29 720
30 113400
31 369600
32 34650
33 252
34 1
35 1
36 1
37 5040
38 7484400
39 168168000
40 63063000
41 756756
42 924
43 1
44 1
45 1
46 40320
47 681080400
48 137225088000
49 305540235000
50 11732745024
51 17153136
52 3432
53 1
54 1

List of values

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 6, 1, 1, 1, 24, 90, 20, 1, 1, 1, 120, 2520, 1680, 70, 1, 1, 1, 720, 113400, 369600, 34650, 252, 1, 1, 1, 5040, 7484400, 168168000, 63063000, 756756, 924, 1, 1, 1, 40320, 681080400, 137225088000, 305540235000, 11732745024, 17153136, 3432, 1, 1]