A114583 - cp's OEIS frontend

A114583 Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k UHD's, where U=(1,1),H=(1,0),D=(1,-1) (0<=k<=floor(n/3)).

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	7
6	2
7	15
8	6
9	36
10	14
11	1
12	85
13	39
14	3
15	209
16	102
17	12
18	517
19	280
20	37
21	1
22	1303
23	758
24	123
25	4
26	3312
27	2085
28	381
29	20
30	8510
31	5730
32	1194
33	76
34	1
35	22029
36	15849
37	3657
38	295
39	5
40	57447
41	43914
42	11187
43	1056
44	30
45	150709
46	122090
47	33903
48	3734
49	135
50	1
51	397569
52	340104

[1, 1, 2, 3, 1, 7, 2, 15, 6, 36, 14, 1, 85, 39, 3, 209, 102, 12, 517, 280, 37, 1, 1303, 758, 123, 4, 3312, 2085, 381, 20, 8510, 5730, 1194, 76, 1, 22029, 15849, 3657, 295, 5, 57447, 43914, 11187, 1056, 30, 150709, 122090, 33903, 3734, 135, 1, 397569, 340104]

cp's OEIS Frontend

A114583 Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k UHD's, where U=(1,1),H=(1,0),D=(1,-1) (0<=k<=floor(n/3)).

Table of values

List of values