A191781 - cp's OEIS frontend

A191781 Triangle read by rows: T(n,k) is the number of length-n left factors of Dyck paths having length of the first ascent equal to k (1 <= k <= n).

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	6
17	6
18	4
19	2
20	1
21	1
22	10
23	10
24	7
25	4
26	2
27	1
28	1
29	20
30	20
31	14
32	8
33	4
34	2
35	1
36	1
37	35
38	35
39	25
40	15
41	8
42	4
43	2
44	1
45	1
46	70
47	70
48	50
49	30
50	16
51	8
52	4
53	2
54	1
55	1
56	126
57	126
58	91
59	56
60	31
61	16
62	8
63	4
64	2
65	1
66	1
67	252
68	252
69	182
70	112
71	62
72	32
73	16
74	8
75	4
76	2
77	1
78	1
79	462
80	462
81	336
82	210
83	119
84	63
85	32
86	16
87	8
88	4
89	2
90	1
91	1

[1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 2, 1, 1, 6, 6, 4, 2, 1, 1, 10, 10, 7, 4, 2, 1, 1, 20, 20, 14, 8, 4, 2, 1, 1, 35, 35, 25, 15, 8, 4, 2, 1, 1, 70, 70, 50, 30, 16, 8, 4, 2, 1, 1, 126, 126, 91, 56, 31, 16, 8, 4, 2, 1, 1, 252, 252, 182, 112, 62, 32, 16, 8, 4, 2, 1, 1, 462, 462, 336, 210, 119, 63, 32, 16, 8, 4, 2, 1, 1]

cp's OEIS Frontend

A191781 Triangle read by rows: T(n,k) is the number of length-n left factors of Dyck paths having length of the first ascent equal to k (1 <= k <= n).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	6
17	6
18	4
19	2
20	1
21	1
22	10
23	10
24	7
25	4
26	2
27	1
28	1
29	20
30	20
31	14
32	8
33	4
34	2
35	1
36	1
37	35
38	35
39	25
40	15
41	8
42	4
43	2
44	1
45	1
46	70
47	70
48	50
49	30
50	16
51	8
52	4
53	2
54	1
55	1
56	126
57	126
58	91
59	56
60	31
61	16
62	8
63	4
64	2
65	1
66	1
67	252
68	252
69	182
70	112
71	62
72	32
73	16
74	8
75	4
76	2
77	1
78	1
79	462
80	462
81	336
82	210
83	119
84	63
85	32
86	16
87	8
88	4
89	2
90	1
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	6
17	6
18	4
19	2
20	1
21	1
22	10
23	10
24	7
25	4
26	2
27	1
28	1
29	20
30	20
31	14
32	8
33	4
34	2
35	1
36	1
37	35
38	35
39	25
40	15
41	8
42	4
43	2
44	1
45	1
46	70
47	70
48	50
49	30
50	16
51	8
52	4
53	2
54	1
55	1
56	126
57	126
58	91
59	56
60	31
61	16
62	8
63	4
64	2
65	1
66	1
67	252
68	252
69	182
70	112
71	62
72	32
73	16
74	8
75	4
76	2
77	1
78	1
79	462
80	462
81	336
82	210
83	119
84	63
85	32
86	16
87	8
88	4
89	2
90	1
91	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	1
15	1
16	6
17	6
18	4
19	2
20	1
21	1
22	10
23	10
24	7
25	4
26	2
27	1
28	1
29	20
30	20
31	14
32	8
33	4
34	2
35	1
36	1
37	35
38	35
39	25
40	15
41	8
42	4
43	2
44	1
45	1
46	70
47	70
48	50
49	30
50	16
51	8
52	4
53	2
54	1
55	1
56	126
57	126
58	91
59	56
60	31
61	16
62	8
63	4
64	2
65	1
66	1
67	252
68	252
69	182
70	112
71	62
72	32
73	16
74	8
75	4
76	2
77	1
78	1
79	462
80	462
81	336
82	210
83	119
84	63
85	32
86	16
87	8
88	4
89	2
90	1
91	1