A191318 - cp's OEIS frontend

A191318 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 pyramid weight equal to k.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	3
8	2
9	1
10	4
11	5
12	1
13	5
14	10
15	4
16	1
17	6
18	16
19	12
20	1
21	7
22	24
23	30
24	8
25	1
26	8
27	33
28	56
29	28
30	1
31	9
32	44
33	98
34	84
35	16
36	1
37	10
38	56
39	152
40	179
41	64
42	1
43	11
44	70
45	228
46	358
47	224
48	32
49	1
50	12
51	85
52	320
53	618
54	536
55	144
56	1
57	13
58	102
59	440
60	1030
61	1206
62	576
63	64
64	1
65	14
66	120
67	580
68	1580
69	2292
70	1528
71	320
72	1
73	15
74	140
75	754
76	2370
77	4202
78	3820
79	1440
80	128

[1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 4, 5, 1, 5, 10, 4, 1, 6, 16, 12, 1, 7, 24, 30, 8, 1, 8, 33, 56, 28, 1, 9, 44, 98, 84, 16, 1, 10, 56, 152, 179, 64, 1, 11, 70, 228, 358, 224, 32, 1, 12, 85, 320, 618, 536, 144, 1, 13, 102, 440, 1030, 1206, 576, 64, 1, 14, 120, 580, 1580, 2292, 1528, 320, 1, 15, 140, 754, 2370, 4202, 3820, 1440, 128]

cp's OEIS Frontend

A191318 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 pyramid weight equal to k.

Table of values

List of values