A119011 - cp's OEIS frontend

A119011 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k valleys strictly above the x-axis (0<=k<=n-2; n>=2). A hill in a Dyck path is a peak at level 1.

n	a(n)
2	1
3	1
4	1
5	2
6	3
7	1
8	3
9	8
10	6
11	1
12	5
13	18
14	23
15	10
16	1
17	8
18	38
19	70
20	54
21	15
22	1
23	13
24	76
25	186
26	215
27	110
28	21
29	1
30	21
31	147
32	451
33	710
34	560
35	202
36	28
37	1
38	34
39	277
40	1025
41	2065
42	2269
43	1288
44	343
45	36
46	1
47	55
48	512
49	2220
50	5480
51	7854
52	6321
53	2688
54	548
55	45
56	1
57	89
58	932
59	4634
60	13574
61	24227
62	25830

[1, 1, 1, 2, 3, 1, 3, 8, 6, 1, 5, 18, 23, 10, 1, 8, 38, 70, 54, 15, 1, 13, 76, 186, 215, 110, 21, 1, 21, 147, 451, 710, 560, 202, 28, 1, 34, 277, 1025, 2065, 2269, 1288, 343, 36, 1, 55, 512, 2220, 5480, 7854, 6321, 2688, 548, 45, 1, 89, 932, 4634, 13574, 24227, 25830]

cp's OEIS Frontend

A119011 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k valleys strictly above the x-axis (0<=k<=n-2; n>=2). A hill in a Dyck path is a peak at level 1.

Table of values

List of values