A287847 - cp's OEIS frontend

A287847 Number A(n,k) of Dyck paths of semilength n such that no level has more than k peaks; square array A(n,k), n >= 0, k >= 0, read by descending antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	3
14	0
15	1
16	1
17	2
18	4
19	5
20	0
21	1
22	1
23	2
24	5
25	12
26	13
27	0
28	1
29	1
30	2
31	5
32	13
33	31
34	31
35	0
36	1
37	1
38	2
39	5
40	14
41	40
42	90
43	71
44	0
45	1
46	1
47	2
48	5
49	14
50	41
51	119
52	264
53	181
54	0
55	1
56	1
57	2
58	5
59	14
60	42
61	130
62	376
63	797
64	447
65	0
66	1
67	1
68	2
69	5
70	14
71	42
72	131
73	414
74	1202
75	2402
76	1111
77	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 4, 5, 0, 1, 1, 2, 5, 12, 13, 0, 1, 1, 2, 5, 13, 31, 31, 0, 1, 1, 2, 5, 14, 40, 90, 71, 0, 1, 1, 2, 5, 14, 41, 119, 264, 181, 0, 1, 1, 2, 5, 14, 42, 130, 376, 797, 447, 0, 1, 1, 2, 5, 14, 42, 131, 414, 1202, 2402, 1111, 0]

cp's OEIS Frontend

A287847 Number A(n,k) of Dyck paths of semilength n such that no level has more than k peaks; square array A(n,k), n >= 0, k >= 0, read by descending antidiagonals.

Table of values

List of values