A302257 - cp's OEIS frontend

A302257 Number of minimal generating sets {x_1, x_2, ..., x_r} of (Z/nZ)* such that Product_{i=1..r} (x_i)^(e_i) == 1 (mod n) implies that (x_i)^(e_i) == 1 (mod n) for 1 <= i <= r. Here (Z/nZ)* is the multiplicative group of integers modulo n.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	3
9	2
10	2
11	4
12	3
13	4
14	2
15	8
16	8
17	8
18	2
19	6
20	8
21	12
22	4
23	10
24	28
25	8
26	4
27	6
28	12
29	12
30	8
31	8
32	16
33	24
34	8
35	32
36	12
37	12
38	6
39	32
40	96
41	16
42	12
43	12
44	24
45	32
46	10
47	22
48	96
49	12
50	8
51	32
52	32
53	24
54	6
55	64
56	168
57	36
58	12
59	28
60	96
61	16
62	8
63	144
64	32
65	192
66	24
67	20
68	32
69	60
70	32
71	24
72	168
73	24
74	12
75	64
76	36
77	96
78	32

[1, 1, 1, 1, 2, 1, 2, 3, 2, 2, 4, 3, 4, 2, 8, 8, 8, 2, 6, 8, 12, 4, 10, 28, 8, 4, 6, 12, 12, 8, 8, 16, 24, 8, 32, 12, 12, 6, 32, 96, 16, 12, 12, 24, 32, 10, 22, 96, 12, 8, 32, 32, 24, 6, 64, 168, 36, 12, 28, 96, 16, 8, 144, 32, 192, 24, 20, 32, 60, 32, 24, 168, 24, 12, 64, 36, 96, 32]

cp's OEIS Frontend

A302257 Number of minimal generating sets {x_1, x_2, ..., x_r} of (Z/nZ)* such that Product_{i=1..r} (x_i)^(e_i) == 1 (mod n) implies that (x_i)^(e_i) == 1 (mod n) for 1 <= i <= r. Here (Z/nZ)* is the multiplicative group of integers modulo n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	3
9	2
10	2
11	4
12	3
13	4
14	2
15	8
16	8
17	8
18	2
19	6
20	8
21	12
22	4
23	10
24	28
25	8
26	4
27	6
28	12
29	12
30	8
31	8
32	16
33	24
34	8
35	32
36	12
37	12
38	6
39	32
40	96
41	16
42	12
43	12
44	24
45	32
46	10
47	22
48	96
49	12
50	8
51	32
52	32
53	24
54	6
55	64
56	168
57	36
58	12
59	28
60	96
61	16
62	8
63	144
64	32
65	192
66	24
67	20
68	32
69	60
70	32
71	24
72	168
73	24
74	12
75	64
76	36
77	96
78	32

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	3
9	2
10	2
11	4
12	3
13	4
14	2
15	8
16	8
17	8
18	2
19	6
20	8
21	12
22	4
23	10
24	28
25	8
26	4
27	6
28	12
29	12
30	8
31	8
32	16
33	24
34	8
35	32
36	12
37	12
38	6
39	32
40	96
41	16
42	12
43	12
44	24
45	32
46	10
47	22
48	96
49	12
50	8
51	32
52	32
53	24
54	6
55	64
56	168
57	36
58	12
59	28
60	96
61	16
62	8
63	144
64	32
65	192
66	24
67	20
68	32
69	60
70	32
71	24
72	168
73	24
74	12
75	64
76	36
77	96
78	32

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	3
9	2
10	2
11	4
12	3
13	4
14	2
15	8
16	8
17	8
18	2
19	6
20	8
21	12
22	4
23	10
24	28
25	8
26	4
27	6
28	12
29	12
30	8
31	8
32	16
33	24
34	8
35	32
36	12
37	12
38	6
39	32
40	96
41	16
42	12
43	12
44	24
45	32
46	10
47	22
48	96
49	12
50	8
51	32
52	32
53	24
54	6
55	64
56	168
57	36
58	12
59	28
60	96
61	16
62	8
63	144
64	32
65	192
66	24
67	20
68	32
69	60
70	32
71	24
72	168
73	24
74	12
75	64
76	36
77	96
78	32