A211359 - cp's OEIS frontend

A211359 Triangle read by rows: T(n,k) is the number of noncrossing partitions up to rotation and reflection of an n-set that contain k singleton blocks.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	1
8	0
9	1
10	2
11	1
12	2
13	0
14	1
15	2
16	3
17	2
18	2
19	0
20	1
21	5
22	4
23	8
24	3
25	3
26	0
27	1
28	6
29	11
30	12
31	12
32	4
33	3
34	0
35	1
36	14
37	21
38	39
39	24
40	22
41	5
42	4
43	0
44	1
45	22
46	55
47	84
48	85
49	48
50	30
51	7
52	4
53	0
54	1
55	51
56	124
57	245
58	228
59	190
60	82
61	46
62	8
63	5
64	0
65	1
66	95
67	327
68	620
69	730
70	570
71	350
72	136
73	60

[1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 3, 2, 2, 0, 1, 5, 4, 8, 3, 3, 0, 1, 6, 11, 12, 12, 4, 3, 0, 1, 14, 21, 39, 24, 22, 5, 4, 0, 1, 22, 55, 84, 85, 48, 30, 7, 4, 0, 1, 51, 124, 245, 228, 190, 82, 46, 8, 5, 0, 1, 95, 327, 620, 730, 570, 350, 136, 60]

cp's OEIS Frontend

A211359 Triangle read by rows: T(n,k) is the number of noncrossing partitions up to rotation and reflection of an n-set that contain k singleton blocks.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	1
8	0
9	1
10	2
11	1
12	2
13	0
14	1
15	2
16	3
17	2
18	2
19	0
20	1
21	5
22	4
23	8
24	3
25	3
26	0
27	1
28	6
29	11
30	12
31	12
32	4
33	3
34	0
35	1
36	14
37	21
38	39
39	24
40	22
41	5
42	4
43	0
44	1
45	22
46	55
47	84
48	85
49	48
50	30
51	7
52	4
53	0
54	1
55	51
56	124
57	245
58	228
59	190
60	82
61	46
62	8
63	5
64	0
65	1
66	95
67	327
68	620
69	730
70	570
71	350
72	136
73	60

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	1
8	0
9	1
10	2
11	1
12	2
13	0
14	1
15	2
16	3
17	2
18	2
19	0
20	1
21	5
22	4
23	8
24	3
25	3
26	0
27	1
28	6
29	11
30	12
31	12
32	4
33	3
34	0
35	1
36	14
37	21
38	39
39	24
40	22
41	5
42	4
43	0
44	1
45	22
46	55
47	84
48	85
49	48
50	30
51	7
52	4
53	0
54	1
55	51
56	124
57	245
58	228
59	190
60	82
61	46
62	8
63	5
64	0
65	1
66	95
67	327
68	620
69	730
70	570
71	350
72	136
73	60

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	1
8	0
9	1
10	2
11	1
12	2
13	0
14	1
15	2
16	3
17	2
18	2
19	0
20	1
21	5
22	4
23	8
24	3
25	3
26	0
27	1
28	6
29	11
30	12
31	12
32	4
33	3
34	0
35	1
36	14
37	21
38	39
39	24
40	22
41	5
42	4
43	0
44	1
45	22
46	55
47	84
48	85
49	48
50	30
51	7
52	4
53	0
54	1
55	51
56	124
57	245
58	228
59	190
60	82
61	46
62	8
63	5
64	0
65	1
66	95
67	327
68	620
69	730
70	570
71	350
72	136
73	60