A143953 - cp's OEIS frontend

A143953 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	8
9	4
10	1
11	1
12	21
13	14
14	5
15	1
16	1
17	55
18	48
19	21
20	6
21	1
22	1
23	144
24	162
25	85
26	29
27	7
28	1
29	1
30	377
31	537
32	335
33	133
34	38
35	8
36	1
37	1
38	987
39	1748
40	1286
41	589
42	193
43	48
44	9
45	1
46	1
47	2584
48	5594
49	4815
50	2526
51	940
52	266
53	59
54	10
55	1
56	1
57	6765
58	17629
59	17619
60	10518
61	4413
62	1405
63	353
64	71
65	11
66	1

[1, 1, 1, 1, 1, 3, 1, 1, 8, 4, 1, 1, 21, 14, 5, 1, 1, 55, 48, 21, 6, 1, 1, 144, 162, 85, 29, 7, 1, 1, 377, 537, 335, 133, 38, 8, 1, 1, 987, 1748, 1286, 589, 193, 48, 9, 1, 1, 2584, 5594, 4815, 2526, 940, 266, 59, 10, 1, 1, 6765, 17629, 17619, 10518, 4413, 1405, 353, 71, 11, 1]

cp's OEIS Frontend

A143953 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep.

Table of values

List of values