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A098076 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and height k (can be easily expressed using RNA secondary structure terminology).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 3
7 1
8 6
9 1
10 1
11 11
12 5
13 1
14 20
15 15
16 1
17 1
18 36
19 38
20 7
21 1
22 64
23 91
24 28
25 1
26 1
27 113
28 211
29 89
30 9
31 1
32 199
33 477
34 255
35 45
36 1
37 1
38 350
39 1059
40 690
41 172
42 11
43 1
44 615
45 2321
46 1797
47 572
48 66
49 1
50 1
51 1080
52 5037
53 4555
54 1754
55 295
56 13
57 1
58 1896
59 10847
60 11320
61 5098
62 1118
63 91
64 1
65 1
66 3328

List of values

[1, 1, 1, 1, 1, 1, 3, 1, 6, 1, 1, 11, 5, 1, 20, 15, 1, 1, 36, 38, 7, 1, 64, 91, 28, 1, 1, 113, 211, 89, 9, 1, 199, 477, 255, 45, 1, 1, 350, 1059, 690, 172, 11, 1, 615, 2321, 1797, 572, 66, 1, 1, 1080, 5037, 4555, 1754, 295, 13, 1, 1896, 10847, 11320, 5098, 1118, 91, 1, 1, 3328]