A097608 - cp's OEIS frontend

A097608 Triangle read by rows: number of Dyck paths of semilength n and having abscissa of the leftmost valley equal to k (if no valley, then it is taken to be 2n; 2<=k<=2n).

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	1
7	1
8	0
9	1
10	5
11	3
12	3
13	1
14	1
15	0
16	1
17	14
18	9
19	9
20	4
21	3
22	1
23	1
24	0
25	1
26	42
27	28
28	28
29	14
30	10
31	4
32	3
33	1
34	1
35	0
36	1
37	132
38	90
39	90
40	48
41	34
42	15
43	10
44	4
45	3
46	1
47	1
48	0
49	1
50	429
51	297
52	297
53	165
54	117
55	55
56	35
57	15
58	10
59	4
60	3
61	1
62	1
63	0
64	1
65	1430
66	1001
67	1001
68	572
69	407
70	200
71	125
72	56
73	35
74	15
75	10
76	4
77	3
78	1
79	1
80	0
81	1

[1, 1, 0, 1, 2, 1, 1, 0, 1, 5, 3, 3, 1, 1, 0, 1, 14, 9, 9, 4, 3, 1, 1, 0, 1, 42, 28, 28, 14, 10, 4, 3, 1, 1, 0, 1, 132, 90, 90, 48, 34, 15, 10, 4, 3, 1, 1, 0, 1, 429, 297, 297, 165, 117, 55, 35, 15, 10, 4, 3, 1, 1, 0, 1, 1430, 1001, 1001, 572, 407, 200, 125, 56, 35, 15, 10, 4, 3, 1, 1, 0, 1]

cp's OEIS Frontend

A097608 Triangle read by rows: number of Dyck paths of semilength n and having abscissa of the leftmost valley equal to k (if no valley, then it is taken to be 2n; 2<=k<=2n).

Table of values

List of values