A162986 - cp's OEIS frontend

A162986 Number of Dyck paths with no UUU's and no DDD's of semilength n and having k UD's starting at level 0 (i.e., hills); (0 <= k <= n; U=(1,1), D=(1,-1)).

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	4
16	5
17	3
18	4
19	0
20	1
21	8
22	10
23	9
24	4
25	5
26	0
27	1
28	17
29	21
30	18
31	14
32	5
33	6
34	0
35	1
36	37
37	46
38	40
39	28
40	20
41	6
42	7
43	0
44	1
45	82
46	102
47	90
48	66
49	40
50	27
51	7
52	8
53	0
54	1
55	185
56	230
57	204
58	152
59	100
60	54
61	35
62	8
63	9
64	0
65	1
66	423
67	526
68	469
69	353
70	235
71	143
72	70
73	44
74	9
75	10
76	0
77	1
78	978
79	1216

[1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 3, 0, 1, 4, 5, 3, 4, 0, 1, 8, 10, 9, 4, 5, 0, 1, 17, 21, 18, 14, 5, 6, 0, 1, 37, 46, 40, 28, 20, 6, 7, 0, 1, 82, 102, 90, 66, 40, 27, 7, 8, 0, 1, 185, 230, 204, 152, 100, 54, 35, 8, 9, 0, 1, 423, 526, 469, 353, 235, 143, 70, 44, 9, 10, 0, 1, 978, 1216]

cp's OEIS Frontend

A162986 Number of Dyck paths with no UUU's and no DDD's of semilength n and having k UD's starting at level 0 (i.e., hills); (0 <= k <= n; U=(1,1), D=(1,-1)).

Table of values

List of values