A097609 - cp's OEIS frontend

A097609 Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k horizontal steps at level 0.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	3
11	2
12	3
13	0
14	1
15	6
16	7
17	3
18	4
19	0
20	1
21	15
22	14
23	12
24	4
25	5
26	0
27	1
28	36
29	37
30	24
31	18
32	5
33	6
34	0
35	1
36	91
37	90
38	67
39	36
40	25
41	6
42	7
43	0
44	1
45	232
46	233
47	165
48	106
49	50
50	33
51	7
52	8
53	0
54	1
55	603
56	602
57	438
58	264
59	155
60	66
61	42
62	8
63	9
64	0
65	1
66	1585
67	1586
68	1147
69	719
70	390
71	215
72	84
73	52
74	9
75	10
76	0
77	1

[1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 3, 2, 3, 0, 1, 6, 7, 3, 4, 0, 1, 15, 14, 12, 4, 5, 0, 1, 36, 37, 24, 18, 5, 6, 0, 1, 91, 90, 67, 36, 25, 6, 7, 0, 1, 232, 233, 165, 106, 50, 33, 7, 8, 0, 1, 603, 602, 438, 264, 155, 66, 42, 8, 9, 0, 1, 1585, 1586, 1147, 719, 390, 215, 84, 52, 9, 10, 0, 1]

cp's OEIS Frontend

A097609 Triangle read by rows: T(n,k) is number of Motzkin paths of length n having k horizontal steps at level 0.

Table of values

List of values