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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.

A369321 T(n,k) is the number of length-n weak ascent sequences (prefixed with a zero) with k weak ascents, triangle read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 0
5 2
6 0
7 0
8 1
9 5
10 0
11 0
12 0
13 9
14 14
15 0
16 0
17 0
18 5
19 59
20 42
21 0
22 0
23 0
24 1
25 92
26 342
27 132
28 0
29 0
30 0
31 0
32 75
33 1073
34 1863
35 429
36 0
37 0
38 0
39 0
40 35
41 1882
42 10145
43 9794
44 1430
45 0
46 0
47 0
48 0
49 9
50 2131
51 31345
52 84977
53 50380
54 4862
55 0
56 0
57 0
58 0
59 1
60 1661
61 64395
62 417220
63 658423
64 255606
65 16796

List of values

[1, 0, 1, 0, 0, 2, 0, 0, 1, 5, 0, 0, 0, 9, 14, 0, 0, 0, 5, 59, 42, 0, 0, 0, 1, 92, 342, 132, 0, 0, 0, 0, 75, 1073, 1863, 429, 0, 0, 0, 0, 35, 1882, 10145, 9794, 1430, 0, 0, 0, 0, 9, 2131, 31345, 84977, 50380, 4862, 0, 0, 0, 0, 1, 1661, 64395, 417220, 658423, 255606, 16796]