A114596 - cp's OEIS frontend

A114596 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having abscissa of first return equal to 2k (2<=k<=n). A hill in a Dyck path is a peak at level 1.

n	a(n)
2	1
3	0
4	2
5	1
6	0
7	5
8	2
9	2
10	0
11	14
12	6
13	4
14	5
15	0
16	42
17	18
18	12
19	10
20	14
21	0
22	132
23	57
24	36
25	30
26	28
27	42
28	0
29	429
30	186
31	114
32	90
33	84
34	84
35	132
36	0
37	1430
38	622
39	372
40	285
41	252
42	252
43	264
44	429
45	0
46	4862
47	2120
48	1244
49	930
50	798
51	756
52	792
53	858
54	1430
55	0
56	16796
57	7338
58	4240
59	3110
60	2604
61	2394
62	2376
63	2574
64	2860
65	4862
66	0
67	58786

[1, 0, 2, 1, 0, 5, 2, 2, 0, 14, 6, 4, 5, 0, 42, 18, 12, 10, 14, 0, 132, 57, 36, 30, 28, 42, 0, 429, 186, 114, 90, 84, 84, 132, 0, 1430, 622, 372, 285, 252, 252, 264, 429, 0, 4862, 2120, 1244, 930, 798, 756, 792, 858, 1430, 0, 16796, 7338, 4240, 3110, 2604, 2394, 2376, 2574, 2860, 4862, 0, 58786]

cp's OEIS Frontend

A114596 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having abscissa of first return equal to 2k (2<=k<=n). A hill in a Dyck path is a peak at level 1.

Table of values

List of values