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.

A092580 Triangle read by rows: T(n,k) is the number of permutations p of [n] in which exactly the first k terms satisfy the up-down property, i.e., p(1) p(2)>p(3), p(3) ...

Table of values

n a(n)
1 1
2 1
3 1
4 3
5 1
6 2
7 12
8 4
9 3
10 5
11 60
12 20
13 15
14 9
15 16
16 360
17 120
18 90
19 54
20 35
21 61
22 2520
23 840
24 630
25 378
26 245
27 155
28 272
29 20160
30 6720
31 5040
32 3024
33 1960
34 1240
35 791
36 1385
37 181440
38 60480
39 45360
40 27216
41 17640
42 11160
43 7119
44 4529
45 7936
46 1814400
47 604800
48 453600
49 272160
50 176400
51 111600
52 71190
53 45290
54 28839
55 50521

List of values

[1, 1, 1, 3, 1, 2, 12, 4, 3, 5, 60, 20, 15, 9, 16, 360, 120, 90, 54, 35, 61, 2520, 840, 630, 378, 245, 155, 272, 20160, 6720, 5040, 3024, 1960, 1240, 791, 1385, 181440, 60480, 45360, 27216, 17640, 11160, 7119, 4529, 7936, 1814400, 604800, 453600, 272160, 176400, 111600, 71190, 45290, 28839, 50521]