A191308 - cp's OEIS frontend

A191308 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 peaks at height >=2.

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	1
6	8
7	2
8	13
9	6
10	1
11	21
12	12
13	2
14	34
15	26
16	9
17	1
18	55
19	50
20	19
21	2
22	89
23	97
24	52
25	13
26	1
27	144
28	180
29	108
30	28
31	2
32	233
33	332
34	243
35	97
36	18
37	1
38	377
39	600
40	488
41	210
42	39
43	2
44	610
45	1076
46	999
47	552
48	170
49	24
50	1
51	987
52	1908
53	1942
54	1168
55	376
56	52
57	2
58	1597
59	3361
60	3773
61	2663
62	1162
63	282
64	31
65	1
66	2584
67	5878
68	7140
69	5466
70	2543
71	630
72	67
73	2

[1, 1, 2, 3, 5, 1, 8, 2, 13, 6, 1, 21, 12, 2, 34, 26, 9, 1, 55, 50, 19, 2, 89, 97, 52, 13, 1, 144, 180, 108, 28, 2, 233, 332, 243, 97, 18, 1, 377, 600, 488, 210, 39, 2, 610, 1076, 999, 552, 170, 24, 1, 987, 1908, 1942, 1168, 376, 52, 2, 1597, 3361, 3773, 2663, 1162, 282, 31, 1, 2584, 5878, 7140, 5466, 2543, 630, 67, 2]

cp's OEIS Frontend

A191308 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 peaks at height >=2.

Table of values

List of values