A191317 - cp's OEIS frontend

A191317 Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDU's, where U=(1,1) and D=(1,-1).

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	8
6	14
7	23
8	40
9	67
10	117
11	198
12	346
13	590
14	1032
15	1769
16	3096
17	5328
18	9329
19	16103
20	28205
21	48801
22	85500
23	148216
24	259733
25	450952
26	790387
27	1374044
28	2408653
29	4191814
30	7349019
31	12801243
32	22445281
33	39127766
34	68611494
35	119687036
36	209890344
37	366348367
38	642493426
39	1121992447
40	1967839835

[1, 1, 2, 3, 5, 8, 14, 23, 40, 67, 117, 198, 346, 590, 1032, 1769, 3096, 5328, 9329, 16103, 28205, 48801, 85500, 148216, 259733, 450952, 790387, 1374044, 2408653, 4191814, 7349019, 12801243, 22445281, 39127766, 68611494, 119687036, 209890344, 366348367, 642493426, 1121992447, 1967839835]

cp's OEIS Frontend

A191317 Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDU's, where U=(1,1) and D=(1,-1).

Table of values

List of values