A282869 - cp's OEIS frontend

A282869 Triangle read by rows: T(n,k) is the number of dispersed Dyck prefixes (i.e., left factors of 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	2
5	1
6	1
7	4
8	2
9	1
10	1
11	7
12	5
13	2
14	1
15	1
16	12
17	10
18	6
19	2
20	1
21	1
22	20
23	21
24	12
25	7
26	2
27	1
28	1
29	33
30	41
31	28
32	14
33	8
34	2
35	1
36	1
37	54
38	81
39	56
40	36
41	16
42	9
43	2
44	1
45	1
46	88
47	155
48	120
49	72
50	45
51	18
52	10
53	2
54	1
55	1
56	143
57	297
58	239
59	165
60	90
61	55
62	20
63	11
64	2
65	1
66	1
67	232
68	560
69	492
70	330
71	220
72	110
73	66
74	22
75	12
76	2
77	1
78	1
79	376
80	1054
81	974
82	715
83	440
84	286
85	132
86	78
87	24
88	13
89	2
90	1

[1, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 7, 5, 2, 1, 1, 12, 10, 6, 2, 1, 1, 20, 21, 12, 7, 2, 1, 1, 33, 41, 28, 14, 8, 2, 1, 1, 54, 81, 56, 36, 16, 9, 2, 1, 1, 88, 155, 120, 72, 45, 18, 10, 2, 1, 1, 143, 297, 239, 165, 90, 55, 20, 11, 2, 1, 1, 232, 560, 492, 330, 220, 110, 66, 22, 12, 2, 1, 1, 376, 1054, 974, 715, 440, 286, 132, 78, 24, 13, 2, 1]

cp's OEIS Frontend

A282869 Triangle read by rows: T(n,k) is the number of dispersed Dyck prefixes (i.e., left factors of Motzkin paths with no (1,0) steps at positive heights) of length n and height k.

Table of values

List of values