A098083 - cp's OEIS frontend

A098083 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k DHH...HU'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	2
4	4
5	8
6	17
7	36
8	1
9	77
10	5
11	167
12	18
13	365
14	58
15	805
16	172
17	1
18	1790
19	486
20	7
21	4008
22	1331
23	34
24	9033
25	3561
26	141
27	20477
28	9370
29	524
30	1
31	46663
32	24350
33	1810
34	9
35	106843
36	62674
37	5930
38	55
39	245691
40	160126
41	18652
42	279
43	567194
44	406732
45	56832
46	1245
47	1
48	1314086
49	1028360

[1, 1, 1, 2, 4, 8, 17, 36, 1, 77, 5, 167, 18, 365, 58, 805, 172, 1, 1790, 486, 7, 4008, 1331, 34, 9033, 3561, 141, 20477, 9370, 524, 1, 46663, 24350, 1810, 9, 106843, 62674, 5930, 55, 245691, 160126, 18652, 279, 567194, 406732, 56832, 1245, 1, 1314086, 1028360]

cp's OEIS Frontend

A098083 Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k DHH...HU'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