A191314 - cp's OEIS frontend

A191314 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 and height k.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	4
8	1
9	1
10	7
11	2
12	1
13	12
14	6
15	1
16	1
17	20
18	12
19	2
20	1
21	33
22	27
23	8
24	1
25	1
26	54
27	53
28	16
29	2
30	1
31	88
32	108
33	44
34	10
35	1
36	1
37	143
38	208
39	88
40	20
41	2
42	1
43	232
44	405
45	208
46	65
47	12
48	1
49	1
50	376
51	768
52	415
53	130
54	24
55	2
56	1
57	609
58	1459
59	908
60	350
61	90
62	14
63	1
64	1
65	986
66	2734
67	1804
68	700
69	180
70	28
71	2
72	1
73	1596
74	5117
75	3776
76	1700
77	544
78	119
79	16
80	1

[1, 1, 1, 1, 1, 2, 1, 4, 1, 1, 7, 2, 1, 12, 6, 1, 1, 20, 12, 2, 1, 33, 27, 8, 1, 1, 54, 53, 16, 2, 1, 88, 108, 44, 10, 1, 1, 143, 208, 88, 20, 2, 1, 232, 405, 208, 65, 12, 1, 1, 376, 768, 415, 130, 24, 2, 1, 609, 1459, 908, 350, 90, 14, 1, 1, 986, 2734, 1804, 700, 180, 28, 2, 1, 1596, 5117, 3776, 1700, 544, 119, 16, 1]

cp's OEIS Frontend

A191314 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 and height k.

Table of values

List of values