A190170 - cp's OEIS frontend

A190170 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and having k 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	1
5	2
6	2
7	5
8	3
9	12
10	4
11	1
12	27
13	7
14	3
15	60
16	16
17	6
18	135
19	39
20	10
21	1
22	309
23	92
24	18
25	4
26	717
27	212
28	39
29	10
30	1680
31	488
32	94
33	20
34	1
35	3966
36	1135
37	228
38	39
39	5
40	9423
41	2670
42	543
43	84
44	15
45	22518
46	6336
47	1282
48	200
49	35
50	1
51	54091
52	15132
53	3036
54	492
55	75
56	6
57	130540
58	36327
59	7245
60	1203
61	166
62	21

[1, 1, 1, 1, 1, 2, 2, 5, 3, 12, 4, 1, 27, 7, 3, 60, 16, 6, 135, 39, 10, 1, 309, 92, 18, 4, 717, 212, 39, 10, 1680, 488, 94, 20, 1, 3966, 1135, 228, 39, 5, 9423, 2670, 543, 84, 15, 22518, 6336, 1282, 200, 35, 1, 54091, 15132, 3036, 492, 75, 6, 130540, 36327, 7245, 1203, 166, 21]

cp's OEIS Frontend

A190170 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and having k UHD's starting at level 0; here U=(1,1), H=(1,0), and D=(1,-1).

Table of values

List of values