A114588 - cp's OEIS frontend

A114588 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k peaks at even levels (0<=k<=n-1; 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	1
8	3
9	1
10	1
11	3
12	6
13	6
14	2
15	1
16	7
17	17
18	18
19	11
20	3
21	1
22	17
23	48
24	58
25	40
26	18
27	4
28	1
29	43
30	134
31	186
32	150
33	76
34	27
35	5
36	1
37	110
38	380
39	590
40	540
41	325
42	130
43	38
44	6
45	1
46	286
47	1083
48	1860
49	1915
50	1305
51	624
52	206
53	51
54	7
55	1
56	753
57	3100
58	5844
59	6660
60	5115
61	2772
62	1097
63	308
64	66
65	8
66	1
67	2003

[0, 0, 1, 1, 0, 1, 1, 3, 1, 1, 3, 6, 6, 2, 1, 7, 17, 18, 11, 3, 1, 17, 48, 58, 40, 18, 4, 1, 43, 134, 186, 150, 76, 27, 5, 1, 110, 380, 590, 540, 325, 130, 38, 6, 1, 286, 1083, 1860, 1915, 1305, 624, 206, 51, 7, 1, 753, 3100, 5844, 6660, 5115, 2772, 1097, 308, 66, 8, 1, 2003]

cp's OEIS Frontend

A114588 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k peaks at even levels (0<=k<=n-1; n>=1). A hill in a Dyck path is a peak at level 1.

Table of values

List of values