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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.

A114690 Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k weak ascents (1 <= k <= ceiling(n/2)).

Table of values

n a(n)
1 1
2 2
3 3
4 1
5 5
6 4
7 8
8 12
9 1
10 13
11 31
12 7
13 21
14 73
15 32
16 1
17 34
18 162
19 116
20 11
21 55
22 344
23 365
24 70
25 1
26 89
27 707
28 1041
29 335
30 16
31 144
32 1416
33 2762
34 1340
35 135
36 1
37 233
38 2778
39 6932
40 4726
41 820
42 22
43 377
44 5358
45 16646
46 15176
47 4039
48 238
49 1
50 610
51 10188
52 38560
53 45305
54 17157
55 1785
56 29
57 987

List of values

[1, 2, 3, 1, 5, 4, 8, 12, 1, 13, 31, 7, 21, 73, 32, 1, 34, 162, 116, 11, 55, 344, 365, 70, 1, 89, 707, 1041, 335, 16, 144, 1416, 2762, 1340, 135, 1, 233, 2778, 6932, 4726, 820, 22, 377, 5358, 16646, 15176, 4039, 238, 1, 610, 10188, 38560, 45305, 17157, 1785, 29, 987]