A143952 - cp's OEIS frontend

A143952 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peak plateaux (0<=k<=floor(n/2)). 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	4
6	1
7	12
8	1
9	1
10	33
11	8
12	1
13	88
14	42
15	1
16	1
17	232
18	183
19	13
20	1
21	609
22	717
23	102
24	1
25	1
26	1596
27	2622
28	624
29	19
30	1
31	4180
32	9134
33	3275
34	205
35	1
36	1
37	10945
38	30691
39	15473
40	1650
41	26
42	1
43	28656
44	100284
45	67684
46	11020
47	366
48	1
49	1
50	75024
51	320466
52	279106
53	64553
54	3716
55	34
56	1

[1, 1, 1, 1, 1, 4, 1, 12, 1, 1, 33, 8, 1, 88, 42, 1, 1, 232, 183, 13, 1, 609, 717, 102, 1, 1, 1596, 2622, 624, 19, 1, 4180, 9134, 3275, 205, 1, 1, 10945, 30691, 15473, 1650, 26, 1, 28656, 100284, 67684, 11020, 366, 1, 1, 75024, 320466, 279106, 64553, 3716, 34, 1]

cp's OEIS Frontend

A143952 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peak plateaux (0<=k<=floor(n/2)). 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