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.

A291680 Number T(n,k) of permutations p of [n] such that in 0p the largest up-jump equals k and no down-jump is larger than 2; 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 1
6 0
7 1
8 3
9 2
10 0
11 1
12 9
13 8
14 4
15 0
16 1
17 25
18 36
19 20
20 10
21 0
22 1
23 71
24 156
25 108
26 58
27 26
28 0
29 1
30 205
31 666
32 586
33 340
34 170
35 74
36 0
37 1
38 607
39 2860
40 3098
41 2014
42 1078
43 528
44 218
45 0
46 1
47 1833
48 12336
49 16230
50 11888
51 6772
52 3550
53 1672
54 672
55 0
56 1
57 5635
58 53518
59 85150
60 69274
61 42366
62 23284
63 11840
64 5454
65 2126

List of values

[1, 0, 1, 0, 1, 1, 0, 1, 3, 2, 0, 1, 9, 8, 4, 0, 1, 25, 36, 20, 10, 0, 1, 71, 156, 108, 58, 26, 0, 1, 205, 666, 586, 340, 170, 74, 0, 1, 607, 2860, 3098, 2014, 1078, 528, 218, 0, 1, 1833, 12336, 16230, 11888, 6772, 3550, 1672, 672, 0, 1, 5635, 53518, 85150, 69274, 42366, 23284, 11840, 5454, 2126]