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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.

A259701 Triangle read by rows: T(n,k) = number of permutations without overlaps in which the first increasing run has length k and the second element is not 2.

Table of values

n a(n)
2 0
3 1
4 0
5 2
6 0
7 0
8 5
9 0
10 1
11 0
12 12
13 0
14 2
15 0
16 0
17 33
18 1
19 7
20 0
21 1
22 0
23 87
24 2
25 17
26 0
27 2
28 0
29 0
30 252
31 11
32 55
33 2
34 9
35 0
36 1
37 0
38 703
39 26
40 145
41 4
42 22
43 0
44 2
45 0
46 0
47 2105
48 109
49 467
50 27
51 81
52 3
53 11
54 0
55 1
56 0
57 6099
58 280
59 1296
60 63
61 215
62 6
63 27
64 0
65 2
66 0
67 0

List of values

[0, 1, 0, 2, 0, 0, 5, 0, 1, 0, 12, 0, 2, 0, 0, 33, 1, 7, 0, 1, 0, 87, 2, 17, 0, 2, 0, 0, 252, 11, 55, 2, 9, 0, 1, 0, 703, 26, 145, 4, 22, 0, 2, 0, 0, 2105, 109, 467, 27, 81, 3, 11, 0, 1, 0, 6099, 280, 1296, 63, 215, 6, 27, 0, 2, 0, 0]