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.

A214152 Number of permutations T(n,k) in S_n containing an increasing subsequence of length k; triangle T(n,k), n>=1, 1<=k<=n, read by rows.

Table of values

n a(n)
1 1
2 2
3 1
4 6
5 5
6 1
7 24
8 23
9 10
10 1
11 120
12 119
13 78
14 17
15 1
16 720
17 719
18 588
19 207
20 26
21 1
22 5040
23 5039
24 4611
25 2279
26 458
27 37
28 1
29 40320
30 40319
31 38890
32 24553
33 6996
34 891
35 50
36 1
37 362880
38 362879
39 358018
40 268521
41 101072
42 18043
43 1578
44 65
45 1
46 3628800
47 3628799
48 3612004
49 3042210
50 1438112
51 337210
52 40884
53 2603
54 82
55 1

List of values

[1, 2, 1, 6, 5, 1, 24, 23, 10, 1, 120, 119, 78, 17, 1, 720, 719, 588, 207, 26, 1, 5040, 5039, 4611, 2279, 458, 37, 1, 40320, 40319, 38890, 24553, 6996, 891, 50, 1, 362880, 362879, 358018, 268521, 101072, 18043, 1578, 65, 1, 3628800, 3628799, 3612004, 3042210, 1438112, 337210, 40884, 2603, 82, 1]