A180360 - cp's OEIS frontend

A180360 Table t(n,k) is the number of ways to partition 1 into k fractions using the Farey fractions of order n, read row by row.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	1
12	5
13	4
14	2
15	1
16	1
17	6
18	6
19	5
20	3
21	1
22	1
23	9
24	10
25	8
26	5
27	2
28	1
29	1
30	11
31	14
32	13
33	10
34	6
35	3
36	1
37	1
38	14
39	20
40	22
41	21
42	15
43	9
44	4
45	1
46	1
47	16
48	26
49	36
50	39
51	33
52	22
53	11
54	4
55	1
56	1
57	21
58	36
59	47
60	49
61	40
62	27
63	14
64	6
65	2
66	1
67	1
68	23
69	44
70	70
71	87
72	89
73	76
74	53
75	31
76	14
77	5
78	1
79	1
80	29
81	58
82	88
83	105
84	103
85	87

[1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 4, 2, 1, 1, 6, 6, 5, 3, 1, 1, 9, 10, 8, 5, 2, 1, 1, 11, 14, 13, 10, 6, 3, 1, 1, 14, 20, 22, 21, 15, 9, 4, 1, 1, 16, 26, 36, 39, 33, 22, 11, 4, 1, 1, 21, 36, 47, 49, 40, 27, 14, 6, 2, 1, 1, 23, 44, 70, 87, 89, 76, 53, 31, 14, 5, 1, 1, 29, 58, 88, 105, 103, 87]

cp's OEIS Frontend

A180360 Table t(n,k) is the number of ways to partition 1 into k fractions using the Farey fractions of order n, read row by row.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	1
12	5
13	4
14	2
15	1
16	1
17	6
18	6
19	5
20	3
21	1
22	1
23	9
24	10
25	8
26	5
27	2
28	1
29	1
30	11
31	14
32	13
33	10
34	6
35	3
36	1
37	1
38	14
39	20
40	22
41	21
42	15
43	9
44	4
45	1
46	1
47	16
48	26
49	36
50	39
51	33
52	22
53	11
54	4
55	1
56	1
57	21
58	36
59	47
60	49
61	40
62	27
63	14
64	6
65	2
66	1
67	1
68	23
69	44
70	70
71	87
72	89
73	76
74	53
75	31
76	14
77	5
78	1
79	1
80	29
81	58
82	88
83	105
84	103
85	87

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	1
12	5
13	4
14	2
15	1
16	1
17	6
18	6
19	5
20	3
21	1
22	1
23	9
24	10
25	8
26	5
27	2
28	1
29	1
30	11
31	14
32	13
33	10
34	6
35	3
36	1
37	1
38	14
39	20
40	22
41	21
42	15
43	9
44	4
45	1
46	1
47	16
48	26
49	36
50	39
51	33
52	22
53	11
54	4
55	1
56	1
57	21
58	36
59	47
60	49
61	40
62	27
63	14
64	6
65	2
66	1
67	1
68	23
69	44
70	70
71	87
72	89
73	76
74	53
75	31
76	14
77	5
78	1
79	1
80	29
81	58
82	88
83	105
84	103
85	87

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	3
9	2
10	1
11	1
12	5
13	4
14	2
15	1
16	1
17	6
18	6
19	5
20	3
21	1
22	1
23	9
24	10
25	8
26	5
27	2
28	1
29	1
30	11
31	14
32	13
33	10
34	6
35	3
36	1
37	1
38	14
39	20
40	22
41	21
42	15
43	9
44	4
45	1
46	1
47	16
48	26
49	36
50	39
51	33
52	22
53	11
54	4
55	1
56	1
57	21
58	36
59	47
60	49
61	40
62	27
63	14
64	6
65	2
66	1
67	1
68	23
69	44
70	70
71	87
72	89
73	76
74	53
75	31
76	14
77	5
78	1
79	1
80	29
81	58
82	88
83	105
84	103
85	87