A211355 - cp's OEIS frontend

A211355 Refined triangle A211359: T(n,k) is the number of noncrossing partitions up to rotation and reflection 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	3
22	5
23	3
24	3
25	1
26	2
27	1
28	1
29	1
30	1
31	3
32	4
33	8
34	4
35	9
36	3
37	4
38	4
39	2
40	1
41	3
42	1
43	1
44	1
45	1
46	4
47	5
48	14
49	8
50	19
51	5
52	14
53	13
54	8
55	4
56	12
57	4
58	4
59	1
60	3
61	4
62	3
63	1
64	1
65	1
66	1
67	1
68	4
69	7
70	20
71	10
72	38
73	10
74	30
75	32
76	16
77	7
78	48

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 3, 3, 5, 3, 3, 1, 2, 1, 1, 1, 1, 3, 4, 8, 4, 9, 3, 4, 4, 2, 1, 3, 1, 1, 1, 1, 4, 5, 14, 8, 19, 5, 14, 13, 8, 4, 12, 4, 4, 1, 3, 4, 3, 1, 1, 1, 1, 1, 4, 7, 20, 10, 38, 10, 30, 32, 16, 7, 48]

cp's OEIS Frontend

A211355 Refined triangle A211359: T(n,k) is the number of noncrossing partitions up to rotation and reflection 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	3
22	5
23	3
24	3
25	1
26	2
27	1
28	1
29	1
30	1
31	3
32	4
33	8
34	4
35	9
36	3
37	4
38	4
39	2
40	1
41	3
42	1
43	1
44	1
45	1
46	4
47	5
48	14
49	8
50	19
51	5
52	14
53	13
54	8
55	4
56	12
57	4
58	4
59	1
60	3
61	4
62	3
63	1
64	1
65	1
66	1
67	1
68	4
69	7
70	20
71	10
72	38
73	10
74	30
75	32
76	16
77	7
78	48

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

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