A121484 - cp's OEIS frontend

A121484 Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n, having k peaks at even level (n>=1,0<=k<=n-1). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.

n	a(n)
1	1
2	1
3	1
4	2
5	2
6	1
7	4
8	6
9	2
10	1
11	8
12	13
13	10
14	2
15	1
16	16
17	34
18	23
19	13
20	2
21	1
22	33
23	74
24	75
25	32
26	16
27	2
28	1
29	66
30	178
31	180
32	124
33	40
34	19
35	2
36	1
37	136
38	390
39	497
40	321
41	180
42	48
43	22
44	2
45	1
46	274
47	895
48	1192
49	1004
50	488
51	244
52	56
53	25
54	2
55	1
56	562
57	1958
58	3033
59	2598
60	1701
61	682
62	317
63	64
64	28
65	2
66	1
67	1138
68	4374

[1, 1, 1, 2, 2, 1, 4, 6, 2, 1, 8, 13, 10, 2, 1, 16, 34, 23, 13, 2, 1, 33, 74, 75, 32, 16, 2, 1, 66, 178, 180, 124, 40, 19, 2, 1, 136, 390, 497, 321, 180, 48, 22, 2, 1, 274, 895, 1192, 1004, 488, 244, 56, 25, 2, 1, 562, 1958, 3033, 2598, 1701, 682, 317, 64, 28, 2, 1, 1138, 4374]

cp's OEIS Frontend

A121484 Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n, having k peaks at even level (n>=1,0<=k<=n-1). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.

Table of values

List of values