A166285 - cp's OEIS frontend

A166285 Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	5
6	3
7	9
8	8
9	17
10	19
11	1
12	34
13	43
14	5
15	70
16	97
17	18
18	147
19	219
20	56
21	1
22	313
23	498
24	160
25	7
26	673
27	1140
28	438
29	32
30	1459
31	2623
32	1168
33	122
34	1
35	3185
36	6061
37	3062
38	418
39	9
40	6995
41	14053
42	7932
43	1342
44	50
45	15445
46	32677
47	20360
48	4124
49	225
50	1
51	34265
52	76171
53	51886
54	12274
55	895

[1, 1, 2, 3, 1, 5, 3, 9, 8, 17, 19, 1, 34, 43, 5, 70, 97, 18, 147, 219, 56, 1, 313, 498, 160, 7, 673, 1140, 438, 32, 1459, 2623, 1168, 122, 1, 3185, 6061, 3062, 418, 9, 6995, 14053, 7932, 1342, 50, 15445, 32677, 20360, 4124, 225, 1, 34265, 76171, 51886, 12274, 895]

cp's OEIS Frontend

A166285 Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).

Table of values

List of values