A191398 - cp's OEIS frontend

A191398 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 DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

n	a(n)
0	1
1	1
2	2
3	3
4	6
5	9
6	18
7	28
8	56
9	89
10	179
11	289
12	585
13	956
14	1948
15	3214
16	6591
17	10959
18	22609
19	37833
20	78486
21	132037
22	275316
23	465255
24	974659
25	1653418
26	3478520
27	5920569
28	12504448
29	21344348
30	45240473
31	77417309
32	164624203
33	282335973
34	602163830
35	1034757445
36	2212959172
37	3809387953
38	8167344875

[1, 1, 2, 3, 6, 9, 18, 28, 56, 89, 179, 289, 585, 956, 1948, 3214, 6591, 10959, 22609, 37833, 78486, 132037, 275316, 465255, 974659, 1653418, 3478520, 5920569, 12504448, 21344348, 45240473, 77417309, 164624203, 282335973, 602163830, 1034757445, 2212959172, 3809387953, 8167344875]

cp's OEIS Frontend

A191398 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 DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

Table of values

List of values