A132890 - cp's OEIS frontend

A132890 Triangle read by rows: T(n,k) is the number of left factors of Dyck paths of length n that have height k (1 <= k <= n).

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	4
14	1
15	1
16	1
17	7
18	5
19	5
20	1
21	1
22	1
23	7
24	13
25	6
26	6
27	1
28	1
29	1
30	15
31	18
32	20
33	7
34	7
35	1
36	1
37	1
38	15
39	39
40	26
41	27
42	8
43	8
44	1
45	1
46	1
47	31
48	57
49	73
50	35
51	35
52	9
53	9
54	1
55	1
56	1
57	31
58	112
59	99
60	109
61	44
62	44
63	10
64	10
65	1
66	1
67	1
68	63
69	169
70	253
71	152
72	154
73	54
74	54
75	11
76	11
77	1
78	1

[1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 4, 1, 1, 1, 7, 5, 5, 1, 1, 1, 7, 13, 6, 6, 1, 1, 1, 15, 18, 20, 7, 7, 1, 1, 1, 15, 39, 26, 27, 8, 8, 1, 1, 1, 31, 57, 73, 35, 35, 9, 9, 1, 1, 1, 31, 112, 99, 109, 44, 44, 10, 10, 1, 1, 1, 63, 169, 253, 152, 154, 54, 54, 11, 11, 1, 1]

cp's OEIS Frontend

A132890 Triangle read by rows: T(n,k) is the number of left factors of Dyck paths of length n that have height 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	1
8	3
9	1
10	1
11	1
12	3
13	4
14	1
15	1
16	1
17	7
18	5
19	5
20	1
21	1
22	1
23	7
24	13
25	6
26	6
27	1
28	1
29	1
30	15
31	18
32	20
33	7
34	7
35	1
36	1
37	1
38	15
39	39
40	26
41	27
42	8
43	8
44	1
45	1
46	1
47	31
48	57
49	73
50	35
51	35
52	9
53	9
54	1
55	1
56	1
57	31
58	112
59	99
60	109
61	44
62	44
63	10
64	10
65	1
66	1
67	1
68	63
69	169
70	253
71	152
72	154
73	54
74	54
75	11
76	11
77	1
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	4
14	1
15	1
16	1
17	7
18	5
19	5
20	1
21	1
22	1
23	7
24	13
25	6
26	6
27	1
28	1
29	1
30	15
31	18
32	20
33	7
34	7
35	1
36	1
37	1
38	15
39	39
40	26
41	27
42	8
43	8
44	1
45	1
46	1
47	31
48	57
49	73
50	35
51	35
52	9
53	9
54	1
55	1
56	1
57	31
58	112
59	99
60	109
61	44
62	44
63	10
64	10
65	1
66	1
67	1
68	63
69	169
70	253
71	152
72	154
73	54
74	54
75	11
76	11
77	1
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	4
14	1
15	1
16	1
17	7
18	5
19	5
20	1
21	1
22	1
23	7
24	13
25	6
26	6
27	1
28	1
29	1
30	15
31	18
32	20
33	7
34	7
35	1
36	1
37	1
38	15
39	39
40	26
41	27
42	8
43	8
44	1
45	1
46	1
47	31
48	57
49	73
50	35
51	35
52	9
53	9
54	1
55	1
56	1
57	31
58	112
59	99
60	109
61	44
62	44
63	10
64	10
65	1
66	1
67	1
68	63
69	169
70	253
71	152
72	154
73	54
74	54
75	11
76	11
77	1
78	1