A191525 - cp's OEIS frontend

A191525 Triangle read by rows: T(n,k) is the number of left factors of Dyck paths of length n and having k hills; a hill is a (1,1)-step starting at level 0 and followed by a (1,-1)-step.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	4
7	1
8	1
9	7
10	2
11	1
12	13
13	5
14	1
15	1
16	24
17	8
18	2
19	1
20	46
21	16
22	6
23	1
24	1
25	86
26	28
27	9
28	2
29	1
30	166
31	58
32	19
33	7
34	1
35	1
36	314
37	103
38	32
39	10
40	2
41	1
42	610
43	211
44	71
45	22
46	8
47	1
48	1
49	1163
50	382
51	121
52	36
53	11
54	2
55	1
56	2269
57	781
58	261
59	85
60	25
61	9
62	1
63	1
64	4352
65	1432
66	456
67	140
68	40
69	12
70	2
71	1
72	8518
73	2920
74	976
75	316
76	100
77	28
78	10
79	1
80	1

[1, 1, 1, 1, 2, 1, 4, 1, 1, 7, 2, 1, 13, 5, 1, 1, 24, 8, 2, 1, 46, 16, 6, 1, 1, 86, 28, 9, 2, 1, 166, 58, 19, 7, 1, 1, 314, 103, 32, 10, 2, 1, 610, 211, 71, 22, 8, 1, 1, 1163, 382, 121, 36, 11, 2, 1, 2269, 781, 261, 85, 25, 9, 1, 1, 4352, 1432, 456, 140, 40, 12, 2, 1, 8518, 2920, 976, 316, 100, 28, 10, 1, 1]

cp's OEIS Frontend

A191525 Triangle read by rows: T(n,k) is the number of left factors of Dyck paths of length n and having k hills; a hill is a (1,1)-step starting at level 0 and followed by a (1,-1)-step.

Table of values

List of values