A118972 - cp's OEIS frontend

A118972 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having length of first descent equal to k (1<=k<=n; n>=1). A hill in a Dyck path is a peak at level 1.

n	a(n)
1	0
2	0
3	1
4	1
5	0
6	1
7	3
8	2
9	0
10	1
11	10
12	5
13	2
14	0
15	1
16	33
17	16
18	5
19	2
20	0
21	1
22	111
23	51
24	16
25	5
26	2
27	0
28	1
29	379
30	168
31	51
32	16
33	5
34	2
35	0
36	1
37	1312
38	565
39	168
40	51
41	16
42	5
43	2
44	0
45	1
46	4596
47	1934
48	565
49	168
50	51
51	16
52	5
53	2
54	0
55	1
56	16266
57	6716
58	1934
59	565
60	168
61	51
62	16
63	5
64	2
65	0
66	1
67	58082
68	23604
69	6716
70	1934
71	565
72	168

[0, 0, 1, 1, 0, 1, 3, 2, 0, 1, 10, 5, 2, 0, 1, 33, 16, 5, 2, 0, 1, 111, 51, 16, 5, 2, 0, 1, 379, 168, 51, 16, 5, 2, 0, 1, 1312, 565, 168, 51, 16, 5, 2, 0, 1, 4596, 1934, 565, 168, 51, 16, 5, 2, 0, 1, 16266, 6716, 1934, 565, 168, 51, 16, 5, 2, 0, 1, 58082, 23604, 6716, 1934, 565, 168]

cp's OEIS Frontend

A118972 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having length of first descent equal to k (1<=k<=n; n>=1). A hill in a Dyck path is a peak at level 1.

Table of values

List of values