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.

A138771 Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} whose 2nd cycle has k entries; each cycle is written with the smallest element first and cycles are arranged in increasing order of their first elements (n>=1; 0<=k<=n-1). For example, 1432=(1)(24)(3) has 2 entries in the 2nd cycle; 3421=(1324) has 0 entries in the 2nd cycle.

Table of values

n a(n)
1 1
2 1
3 1
4 2
5 3
6 1
7 6
8 11
9 5
10 2
11 24
12 50
13 26
14 14
15 6
16 120
17 274
18 154
19 94
20 54
21 24
22 720
23 1764
24 1044
25 684
26 444
27 264
28 120
29 5040
30 13068
31 8028
32 5508
33 3828
34 2568
35 1560
36 720
37 40320
38 109584
39 69264
40 49104
41 35664
42 25584
43 17520
44 10800
45 5040

List of values

[1, 1, 1, 2, 3, 1, 6, 11, 5, 2, 24, 50, 26, 14, 6, 120, 274, 154, 94, 54, 24, 720, 1764, 1044, 684, 444, 264, 120, 5040, 13068, 8028, 5508, 3828, 2568, 1560, 720, 40320, 109584, 69264, 49104, 35664, 25584, 17520, 10800, 5040]