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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.

A216294 Triangular array read by rows: T(n,k) is the number of partial permutations of {1,2,...,n} that have exactly k cycles, 0<=k<=n.

Table of values

n a(n)
0 1
1 1
2 1
3 3
4 3
5 1
6 13
7 14
8 6
9 1
10 73
11 84
12 41
13 10
14 1
15 501
16 609
17 325
18 95
19 15
20 1
21 4051
22 5155
23 2944
24 965
25 190
26 21
27 1
28 37633
29 49790
30 30023
31 10689
32 2415
33 343
34 28
35 1
36 394353
37 539616
38 340402
39 129220
40 32179
41 5348
42 574
43 36
44 1
45 4596553
46 6478521
47 4246842
48 1698374
49 455511
50 84567
51 10794
52 906
53 45
54 1

List of values

[1, 1, 1, 3, 3, 1, 13, 14, 6, 1, 73, 84, 41, 10, 1, 501, 609, 325, 95, 15, 1, 4051, 5155, 2944, 965, 190, 21, 1, 37633, 49790, 30023, 10689, 2415, 343, 28, 1, 394353, 539616, 340402, 129220, 32179, 5348, 574, 36, 1, 4596553, 6478521, 4246842, 1698374, 455511, 84567, 10794, 906, 45, 1]