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.

A361651 Number T(n,k) of permutations p of [n] such that p(i), p(i+k), p(i+2k),... form an up-down sequence for i in [k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 2
6 0
7 2
8 3
9 6
10 0
11 5
12 6
13 12
14 24
15 0
16 16
17 20
18 30
19 60
20 120
21 0
22 61
23 80
24 90
25 180
26 360
27 720
28 0
29 272
30 350
31 420
32 630
33 1260
34 2520
35 5040
36 0
37 1385
38 1750
39 2240
40 2520
41 5040
42 10080
43 20160
44 40320
45 0
46 7936
47 10080
48 13440
49 15120
50 22680
51 45360
52 90720
53 181440
54 362880

List of values

[1, 0, 1, 0, 1, 2, 0, 2, 3, 6, 0, 5, 6, 12, 24, 0, 16, 20, 30, 60, 120, 0, 61, 80, 90, 180, 360, 720, 0, 272, 350, 420, 630, 1260, 2520, 5040, 0, 1385, 1750, 2240, 2520, 5040, 10080, 20160, 40320, 0, 7936, 10080, 13440, 15120, 22680, 45360, 90720, 181440, 362880]