A104559 - cp's OEIS frontend

A104559 Triangle, read by rows, of the number of left factors of peakless Motzkin paths of length n having k number of U's and D's (i.e., number of paths from (0,0) to the line x=n, consisting of steps U=(1,1), H=(1,0), D=(1,1), that never go below the x-axis and a U step is never followed by a D step).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	4
9	1
10	1
11	4
12	9
13	6
14	1
15	1
16	5
17	16
18	18
19	9
20	1
21	1
22	6
23	25
24	40
25	36
26	12
27	1
28	1
29	7
30	36
31	75
32	100
33	60
34	16
35	1
36	1
37	8
38	49
39	126
40	225
41	200
42	100
43	20
44	1
45	1
46	9
47	64
48	196
49	441
50	525
51	400
52	150
53	25
54	1
55	1
56	10
57	81
58	288
59	784
60	1176
61	1225
62	700
63	225
64	30
65	1
66	1
67	11
68	100
69	405
70	1296
71	2352

[1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 9, 6, 1, 1, 5, 16, 18, 9, 1, 1, 6, 25, 40, 36, 12, 1, 1, 7, 36, 75, 100, 60, 16, 1, 1, 8, 49, 126, 225, 200, 100, 20, 1, 1, 9, 64, 196, 441, 525, 400, 150, 25, 1, 1, 10, 81, 288, 784, 1176, 1225, 700, 225, 30, 1, 1, 11, 100, 405, 1296, 2352]

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