A191305 - cp's OEIS frontend

A191305 Triangle read by rows: T(n,k) is the number of dispersed Dyck paths (i.e., Motzkin paths with no (1,0) steps at positive heights) of length n having k hills (i.e., peaks at height 1).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	1
9	3
10	4
11	3
12	6
13	7
14	6
15	1
16	9
17	12
18	10
19	4
20	18
21	23
22	18
23	10
24	1
25	28
26	40
27	33
28	20
29	5
30	57
31	76
32	64
33	39
34	15
35	1
36	91
37	134
38	120
39	76
40	35
41	6
42	187
43	257
44	231
45	152
46	75
47	21
48	1
49	304
50	460
51	433
52	300
53	156
54	56
55	7
56	629
57	888
58	834
59	595
60	325
61	132
62	28
63	1
64	1037
65	1606
66	1572
67	1164
68	670
69	294
70	84
71	8
72	2157
73	3115
74	3035
75	2292
76	1375
77	642
78	217
79	36
80	1

[1, 1, 1, 1, 1, 2, 2, 3, 1, 3, 4, 3, 6, 7, 6, 1, 9, 12, 10, 4, 18, 23, 18, 10, 1, 28, 40, 33, 20, 5, 57, 76, 64, 39, 15, 1, 91, 134, 120, 76, 35, 6, 187, 257, 231, 152, 75, 21, 1, 304, 460, 433, 300, 156, 56, 7, 629, 888, 834, 595, 325, 132, 28, 1, 1037, 1606, 1572, 1164, 670, 294, 84, 8, 2157, 3115, 3035, 2292, 1375, 642, 217, 36, 1]

cp's OEIS Frontend

A191305 Triangle read by rows: T(n,k) is the number of dispersed Dyck paths (i.e., Motzkin paths with no (1,0) steps at positive heights) of length n having k hills (i.e., peaks at height 1).

Table of values

List of values