A097607 - cp's OEIS frontend

A097607 Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having leftmost valley at altitude k (if path has no valleys, then this altitude is considered to be 0).

n	a(n)
0	1
1	1
2	2
3	4
4	1
5	9
6	4
7	1
8	23
9	13
10	5
11	1
12	65
13	41
14	19
15	6
16	1
17	197
18	131
19	67
20	26
21	7
22	1
23	626
24	428
25	232
26	101
27	34
28	8
29	1
30	2056
31	1429
32	804
33	376
34	144
35	43
36	9
37	1
38	6918
39	4861
40	2806
41	1377
42	573
43	197
44	53
45	10
46	1
47	23714
48	16795
49	9878
50	5017
51	2211
52	834
53	261
54	64
55	11
56	1
57	82500
58	58785
59	35072

[1, 1, 2, 4, 1, 9, 4, 1, 23, 13, 5, 1, 65, 41, 19, 6, 1, 197, 131, 67, 26, 7, 1, 626, 428, 232, 101, 34, 8, 1, 2056, 1429, 804, 376, 144, 43, 9, 1, 6918, 4861, 2806, 1377, 573, 197, 53, 10, 1, 23714, 16795, 9878, 5017, 2211, 834, 261, 64, 11, 1, 82500, 58785, 35072]

cp's OEIS Frontend

A097607 Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having leftmost valley at altitude k (if path has no valleys, then this altitude is considered to be 0).

Table of values

List of values