A089732 - cp's OEIS frontend

A089732 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n having k (1,1) steps (can be easily translated into RNA secondary structure terminology). Except for row 0, row n has ceiling(n/2) entries.

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	10
12	6
13	1
14	15
15	20
16	1
17	1
18	21
19	50
20	10
21	1
22	28
23	105
24	50
25	1
26	1
27	36
28	196
29	175
30	15
31	1
32	45
33	336
34	490
35	105
36	1
37	1
38	55
39	540
40	1176
41	490
42	21
43	1
44	66
45	825
46	2520
47	1764
48	196
49	1
50	1
51	78
52	1210
53	4950
54	5292
55	1176
56	28
57	1
58	91
59	1716
60	9075
61	13860
62	5292
63	336
64	1
65	1
66	105

[1, 1, 1, 1, 1, 1, 3, 1, 6, 1, 1, 10, 6, 1, 15, 20, 1, 1, 21, 50, 10, 1, 28, 105, 50, 1, 1, 36, 196, 175, 15, 1, 45, 336, 490, 105, 1, 1, 55, 540, 1176, 490, 21, 1, 66, 825, 2520, 1764, 196, 1, 1, 78, 1210, 4950, 5292, 1176, 28, 1, 91, 1716, 9075, 13860, 5292, 336, 1, 1, 105]

cp's OEIS Frontend

A089732 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n having k (1,1) steps (can be easily translated into RNA secondary structure terminology). Except for row 0, row n has ceiling(n/2) entries.

Table of values

List of values