A112413 - cp's OEIS frontend

A112413 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and starting with exactly k UD's, where U=(1,1), D=(1,-1) (0 <= k <= n).

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	3
7	1
8	0
9	1
10	9
11	3
12	1
13	0
14	1
15	28
16	9
17	3
18	1
19	0
20	1
21	90
22	28
23	9
24	3
25	1
26	0
27	1
28	297
29	90
30	28
31	9
32	3
33	1
34	0
35	1
36	1001
37	297
38	90
39	28
40	9
41	3
42	1
43	0
44	1
45	3432
46	1001
47	297
48	90
49	28
50	9
51	3
52	1
53	0
54	1
55	11934
56	3432
57	1001
58	297
59	90
60	28
61	9
62	3
63	1
64	0
65	1
66	41990
67	11934
68	3432
69	1001
70	297
71	90
72	28
73	9
74	3
75	1
76	0

[1, 0, 1, 1, 0, 1, 3, 1, 0, 1, 9, 3, 1, 0, 1, 28, 9, 3, 1, 0, 1, 90, 28, 9, 3, 1, 0, 1, 297, 90, 28, 9, 3, 1, 0, 1, 1001, 297, 90, 28, 9, 3, 1, 0, 1, 3432, 1001, 297, 90, 28, 9, 3, 1, 0, 1, 11934, 3432, 1001, 297, 90, 28, 9, 3, 1, 0, 1, 41990, 11934, 3432, 1001, 297, 90, 28, 9, 3, 1, 0]

cp's OEIS Frontend

A112413 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and starting with exactly k UD's, where U=(1,1), D=(1,-1) (0 <= k <= n).

Table of values

List of values