A065602 - cp's OEIS frontend

A065602 Triangle T(n,k) giving number of hill-free Dyck paths of length 2n and having height of first peak equal to k.

n	a(n)
2	1
3	1
4	1
5	3
6	2
7	1
8	8
9	6
10	3
11	1
12	24
13	18
14	10
15	4
16	1
17	75
18	57
19	33
20	15
21	5
22	1
23	243
24	186
25	111
26	54
27	21
28	6
29	1
30	808
31	622
32	379
33	193
34	82
35	28
36	7
37	1
38	2742
39	2120
40	1312
41	690
42	311
43	118
44	36
45	8
46	1
47	9458
48	7338
49	4596
50	2476
51	1164
52	474
53	163
54	45
55	9
56	1
57	33062
58	25724
59	16266
60	8928
61	4332
62	1856
63	692
64	218
65	55
66	10
67	1

[1, 1, 1, 3, 2, 1, 8, 6, 3, 1, 24, 18, 10, 4, 1, 75, 57, 33, 15, 5, 1, 243, 186, 111, 54, 21, 6, 1, 808, 622, 379, 193, 82, 28, 7, 1, 2742, 2120, 1312, 690, 311, 118, 36, 8, 1, 9458, 7338, 4596, 2476, 1164, 474, 163, 45, 9, 1, 33062, 25724, 16266, 8928, 4332, 1856, 692, 218, 55, 10, 1]

cp's OEIS Frontend

A065602 Triangle T(n,k) giving number of hill-free Dyck paths of length 2n and having height of first peak equal to k.

Table of values

List of values