A322329 - cp's OEIS frontend

A322329 Triangle read by rows: T(n,k) is the number of nondecreasing Motzkin prefixes (i.e., left factors of nondecreasing Motzkin paths) of length n and final height k (0 <= k <= n).

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	1
6	4
7	5
8	3
9	1
10	9
11	12
12	9
13	4
14	1
15	21
16	30
17	25
18	14
19	5
20	1
21	49
22	74
23	69
24	44
25	20
26	6
27	1
28	115
29	182
30	185
31	133
32	70
33	27
34	7
35	1
36	269
37	444
38	488
39	386
40	230
41	104
42	35
43	8
44	1
45	630
46	1078
47	1266
48	1090
49	718
50	369
51	147
52	44
53	9
54	1
55	1474
56	2605
57	3245
58	3006
59	2161
60	1232
61	560
62	200
63	54
64	10
65	1

[1, 1, 1, 2, 2, 1, 4, 5, 3, 1, 9, 12, 9, 4, 1, 21, 30, 25, 14, 5, 1, 49, 74, 69, 44, 20, 6, 1, 115, 182, 185, 133, 70, 27, 7, 1, 269, 444, 488, 386, 230, 104, 35, 8, 1, 630, 1078, 1266, 1090, 718, 369, 147, 44, 9, 1, 1474, 2605, 3245, 3006, 2161, 1232, 560, 200, 54, 10, 1]

cp's OEIS Frontend

A322329 Triangle read by rows: T(n,k) is the number of nondecreasing Motzkin prefixes (i.e., left factors of nondecreasing Motzkin paths) of length n and final height k (0 <= k <= n).

Table of values

List of values