A089741 - cp's OEIS frontend

A089741 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k UHH...HD's, 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	1
4	1
5	1
6	3
7	1
8	7
9	1
10	15
11	1
12	1
13	31
14	5
15	1
16	63
17	18
18	1
19	127
20	56
21	1
22	1
23	255
24	160
25	7
26	1
27	511
28	432
29	34
30	1
31	1023
32	1120
33	138
34	1
35	1
36	2047
37	2816
38	500
39	9
40	1
41	4095
42	6912
43	1672
44	55
45	1
46	8191
47	16640
48	5264
49	275
50	1
51	1
52	16383
53	39424
54	15808
55	1205
56	11
57	1
58	32767
59	92160
60	45696
61	4797

[1, 1, 1, 1, 1, 1, 3, 1, 7, 1, 15, 1, 1, 31, 5, 1, 63, 18, 1, 127, 56, 1, 1, 255, 160, 7, 1, 511, 432, 34, 1, 1023, 1120, 138, 1, 1, 2047, 2816, 500, 9, 1, 4095, 6912, 1672, 55, 1, 8191, 16640, 5264, 275, 1, 1, 16383, 39424, 15808, 1205, 11, 1, 32767, 92160, 45696, 4797]

cp's OEIS Frontend

A089741 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k UHH...HD's, 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