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.

A180013 Triangular array read by rows: T(n,k) = number of fixed points in the permutations of {1,2,...,n} that have exactly k cycles; n>=1, 1<=k<=n.

Table of values

n a(n)
1 1
2 0
3 2
4 0
5 3
6 3
7 0
8 8
9 12
10 4
11 0
12 30
13 55
14 30
15 5
16 0
17 144
18 300
19 210
20 60
21 6
22 0
23 840
24 1918
25 1575
26 595
27 105
28 7
29 0
30 5760
31 14112
32 12992
33 5880
34 1400
35 168
36 8
37 0
38 45360
39 117612
40 118188
41 60921
42 17640
43 2898
44 252
45 9
46 0
47 403200
48 1095840
49 1181240
50 672840
51 224490
52 45360
53 5460
54 360
55 10

List of values

[1, 0, 2, 0, 3, 3, 0, 8, 12, 4, 0, 30, 55, 30, 5, 0, 144, 300, 210, 60, 6, 0, 840, 1918, 1575, 595, 105, 7, 0, 5760, 14112, 12992, 5880, 1400, 168, 8, 0, 45360, 117612, 118188, 60921, 17640, 2898, 252, 9, 0, 403200, 1095840, 1181240, 672840, 224490, 45360, 5460, 360, 10]