A211353 - cp's OEIS frontend

A211353 Refined triangle A211357: T(n,k) is the number of noncrossing partitions up to rotation of an n-set that are of type k (k-th integer partition, defined by A194602).

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

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 4, 6, 3, 5, 1, 2, 1, 1, 1, 1, 3, 5, 10, 5, 15, 3, 5, 6, 3, 1, 3, 1, 1, 1, 1, 4, 7, 19, 10, 35, 7, 19, 21, 12, 4, 21, 7, 7, 1, 3, 4, 4, 1, 1, 1, 1, 1, 4, 10, 28, 14, 70, 14, 48, 56, 28, 10]

cp's OEIS Frontend

A211353 Refined triangle A211357: T(n,k) is the number of noncrossing partitions up to rotation of an n-set that are of type k (k-th integer partition, defined by A194602).

Table of values

List of values

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

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

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