A191397 - cp's OEIS frontend

A191397 Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

n	a(n)
0	1
1	1
2	2
3	3
4	6
5	9
6	1
7	18
8	2
9	28
10	7
11	56
12	14
13	89
14	37
15	179
16	72
17	1
18	289
19	170
20	3
21	585
22	326
23	13
24	956
25	726
26	34
27	1948
28	1380
29	104
30	3214
31	2970
32	250
33	1
34	6591
35	5616
36	659
37	4
38	10959
39	11829
40	1502
41	20
42	22609
43	22300
44	3647
45	64
46	37833
47	46306
48	8019
49	220
50	78486
51	87154
52	18495
53	620
54	1
55	132037
56	179222
57	39648
58	1804
59	5

[1, 1, 2, 3, 6, 9, 1, 18, 2, 28, 7, 56, 14, 89, 37, 179, 72, 1, 289, 170, 3, 585, 326, 13, 956, 726, 34, 1948, 1380, 104, 3214, 2970, 250, 1, 6591, 5616, 659, 4, 10959, 11829, 1502, 20, 22609, 22300, 3647, 64, 37833, 46306, 8019, 220, 78486, 87154, 18495, 620, 1, 132037, 179222, 39648, 1804, 5]

cp's OEIS Frontend

A191397 Triangle read by rows: T(n,k) is the number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having k DHU's (here U=(1,1), H=(1,0), and D=(1,-1)).

Table of values

List of values