A190172 - cp's OEIS frontend

A190172 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having k UHD's; here U=(1,1), H=(1,0), and D=(1,-1).

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	4
8	4
9	8
10	8
11	1
12	16
13	18
14	3
15	33
16	40
17	9
18	69
19	90
20	25
21	1
22	146
23	204
24	69
25	4
26	312
27	467
28	183
29	16
30	673
31	1074
32	479
33	56
34	1
35	1463
36	2481
37	1239
38	185
39	5
40	3202
41	5752
42	3180
43	576
44	25
45	7050
46	13378
47	8104
48	1734
49	105
50	1
51	15605
52	31196
53	20544
54	5076
55	405
56	6
57	34705
58	72912
59	51852
60	14546
61	1451
62	36

[1, 1, 1, 1, 1, 2, 2, 4, 4, 8, 8, 1, 16, 18, 3, 33, 40, 9, 69, 90, 25, 1, 146, 204, 69, 4, 312, 467, 183, 16, 673, 1074, 479, 56, 1, 1463, 2481, 1239, 185, 5, 3202, 5752, 3180, 576, 25, 7050, 13378, 8104, 1734, 105, 1, 15605, 31196, 20544, 5076, 405, 6, 34705, 72912, 51852, 14546, 1451, 36]

cp's OEIS Frontend

A190172 Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having k UHD's; here U=(1,1), H=(1,0), and D=(1,-1).

Table of values

List of values