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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.

A259698 Triangle read by rows: T(n,k) = number of permutations without overlaps having k increasing runs.

Table of values

n a(n)
2 1
3 1
4 1
5 1
6 2
7 1
8 1
9 4
10 4
11 1
12 1
13 6
14 10
15 6
16 1
17 1
18 10
19 23
20 22
21 9
22 1
23 1
24 14
25 44
26 61
27 41
28 12
29 1
30 1
31 22
32 87
33 158
34 148
35 71
36 16
37 1
38 1
39 30
40 151
41 352
42 436
43 301
44 114
45 20
46 1
47 1
48 46
49 280
50 791
51 1210
52 1092
53 589
54 175
55 25
56 1
57 1
58 62
59 464
60 1592
61 2969
62 3317
63 2408
64 1038
65 256
66 30
67 1

List of values

[1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 6, 10, 6, 1, 1, 10, 23, 22, 9, 1, 1, 14, 44, 61, 41, 12, 1, 1, 22, 87, 158, 148, 71, 16, 1, 1, 30, 151, 352, 436, 301, 114, 20, 1, 1, 46, 280, 791, 1210, 1092, 589, 175, 25, 1, 1, 62, 464, 1592, 2969, 3317, 2408, 1038, 256, 30, 1]