A097100 - cp's OEIS frontend

A097100 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n containing k subwords of the type U H^j U or D H^j D for some j>0, where U=(1,1), H=(1,0) and D=(1,-1) (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	28
9	8
10	1
11	53
12	24
13	5
14	102
15	62
16	21
17	199
18	152
19	68
20	4
21	391
22	366
23	196
24	24
25	1
26	773
27	868
28	531
29	104
30	7
31	1537
32	2032
33	1393
34	368
35	43
36	3075
37	4694
38	3593
39	1172
40	195
41	6
42	6189
43	10732
44	9120
45	3528
46	754
47	48
48	1
49	12525
50	24348
51	22822
52	10224
53	2632
54	272
55	9

[1, 1, 1, 2, 4, 8, 15, 2, 28, 8, 1, 53, 24, 5, 102, 62, 21, 199, 152, 68, 4, 391, 366, 196, 24, 1, 773, 868, 531, 104, 7, 1537, 2032, 1393, 368, 43, 3075, 4694, 3593, 1172, 195, 6, 6189, 10732, 9120, 3528, 754, 48, 1, 12525, 24348, 22822, 10224, 2632, 272, 9]

cp's OEIS Frontend

A097100 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n containing k subwords of the type U H^j U or D H^j D for some j>0, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).

Table of values

List of values