A098056 - cp's OEIS frontend

A098056 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k subwords of the type uh^ju, dH^jd, or dh^ju for some j>0, where u=(1,1), d=(1,-1) and h=(1,0) (can be easily expressed using RNA secondary structure terminology).

n	a(n)
0	1
1	1
2	1
3	2
4	4
5	8
6	15
7	2
8	27
9	9
10	1
11	48
12	29
13	5
14	84
15	80
16	21
17	147
18	198
19	74
20	4
21	257
22	463
23	230
24	27
25	1
26	451
27	1033
28	667
29	125
30	7
31	796
32	2235
33	1811
34	488
35	43
36	1413
37	4727
38	4694
39	1676
40	219
41	6
42	2526
43	9828
44	11700
45	5317
46	946
47	54
48	1
49	4544
50	20192
51	28252
52	15813
53	3696
54	326
55	9
56	8226
57	41100

[1, 1, 1, 2, 4, 8, 15, 2, 27, 9, 1, 48, 29, 5, 84, 80, 21, 147, 198, 74, 4, 257, 463, 230, 27, 1, 451, 1033, 667, 125, 7, 796, 2235, 1811, 488, 43, 1413, 4727, 4694, 1676, 219, 6, 2526, 9828, 11700, 5317, 946, 54, 1, 4544, 20192, 28252, 15813, 3696, 326, 9, 8226, 41100]

cp's OEIS Frontend

A098056 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k subwords of the type uh^ju, dH^jd, or dh^ju for some j>0, where u=(1,1), d=(1,-1) and h=(1,0) (can be easily expressed using RNA secondary structure terminology).

Table of values

List of values