A190171 - cp's OEIS frontend

A190171 Number of peakless Motzkin paths of length n having no UHD's starting at level 0; here U=(1,1), H=(1,0), and D=(1,-1).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	5
6	12
7	27
8	60
9	135
10	309
11	717
12	1680
13	3966
14	9423
15	22518
16	54091
17	130540
18	316358
19	769577
20	1878497
21	4599623
22	11294640
23	27807381
24	68627188
25	169746823
26	420732391
27	1044830875
28	2599352149
29	6477571270
30	16167429874
31	40411920571
32	101153167258
33	253522241008

[1, 1, 1, 1, 2, 5, 12, 27, 60, 135, 309, 717, 1680, 3966, 9423, 22518, 54091, 130540, 316358, 769577, 1878497, 4599623, 11294640, 27807381, 68627188, 169746823, 420732391, 1044830875, 2599352149, 6477571270, 16167429874, 40411920571, 101153167258, 253522241008]

cp's OEIS Frontend

A190171 Number of peakless Motzkin paths of length n having no UHD's starting at level 0; here U=(1,1), H=(1,0), and D=(1,-1).

Table of values

List of values