A191310 - cp's OEIS frontend

A191310 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 up-steps starting at level 0.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	4
8	1
9	1
10	6
11	3
12	1
13	10
14	8
15	1
16	1
17	14
18	16
19	4
20	1
21	23
22	32
23	13
24	1
25	1
26	32
27	56
28	32
29	5
30	1
31	55
32	102
33	74
34	19
35	1
36	1
37	78
38	170
39	152
40	55
41	6
42	1
43	143
44	302
45	307
46	144
47	26
48	1
49	1
50	208
51	498
52	580
53	336
54	86
55	7
56	1
57	405
58	890
59	1102
60	748
61	251
62	34
63	1
64	1
65	602
66	1478
67	2004
68	1564
69	652
70	126
71	8
72	1
73	1228
74	2691
75	3714
76	3200
77	1587
78	405
79	43
80	1

[1, 1, 1, 1, 1, 2, 1, 4, 1, 1, 6, 3, 1, 10, 8, 1, 1, 14, 16, 4, 1, 23, 32, 13, 1, 1, 32, 56, 32, 5, 1, 55, 102, 74, 19, 1, 1, 78, 170, 152, 55, 6, 1, 143, 302, 307, 144, 26, 1, 1, 208, 498, 580, 336, 86, 7, 1, 405, 890, 1102, 748, 251, 34, 1, 1, 602, 1478, 2004, 1564, 652, 126, 8, 1, 1228, 2691, 3714, 3200, 1587, 405, 43, 1]

cp's OEIS Frontend

A191310 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 up-steps starting at level 0.

Table of values

List of values