A097610 - cp's OEIS frontend

A097610 Triangle read by rows: T(n,k) is number of Motzkin paths of length n and having k horizontal steps.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	0
7	3
8	0
9	1
10	2
11	0
12	6
13	0
14	1
15	0
16	10
17	0
18	10
19	0
20	1
21	5
22	0
23	30
24	0
25	15
26	0
27	1
28	0
29	35
30	0
31	70
32	0
33	21
34	0
35	1
36	14
37	0
38	140
39	0
40	140
41	0
42	28
43	0
44	1
45	0
46	126
47	0
48	420
49	0
50	252
51	0
52	36
53	0
54	1
55	42
56	0
57	630
58	0
59	1050
60	0
61	420
62	0
63	45
64	0
65	1
66	0
67	462
68	0
69	2310
70	0
71	2310
72	0
73	660
74	0
75	55
76	0
77	1
78	132
79	0
80	2772
81	0

[1, 0, 1, 1, 0, 1, 0, 3, 0, 1, 2, 0, 6, 0, 1, 0, 10, 0, 10, 0, 1, 5, 0, 30, 0, 15, 0, 1, 0, 35, 0, 70, 0, 21, 0, 1, 14, 0, 140, 0, 140, 0, 28, 0, 1, 0, 126, 0, 420, 0, 252, 0, 36, 0, 1, 42, 0, 630, 0, 1050, 0, 420, 0, 45, 0, 1, 0, 462, 0, 2310, 0, 2310, 0, 660, 0, 55, 0, 1, 132, 0, 2772, 0]

cp's OEIS Frontend

A097610 Triangle read by rows: T(n,k) is number of Motzkin paths of length n and having k horizontal steps.

Table of values

List of values