A327791 - cp's OEIS frontend

A327791 Number of ways, up to order, of decomposing (Z/nZ)* as the internal direct product of r cyclic subgroups, where r = rank((Z/nZ)*).

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	4
16	4
17	1
18	1
19	1
20	4
21	6
22	1
23	1
24	28
25	1
26	1
27	1
28	6
29	1
30	4
31	1
32	4
33	6
34	1
35	8
36	6
37	1
38	1
39	8
40	48
41	1
42	6
43	1
44	6
45	8
46	1
47	1
48	48
49	1
50	1
51	4
52	8
53	1
54	1
55	8
56	84
57	6
58	1
59	1
60	48
61	1
62	1
63	36
64	4
65	24
66	6
67	1
68	4
69	6
70	8
71	1
72	84
73	1
74	1
75	8
76	6
77	12
78	8
79	1
80	192
81	1
82	1
83	1
84	84
85	16
86	1
87	8
88	84
89	1
90	8

[1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 1, 4, 6, 1, 1, 28, 1, 1, 1, 6, 1, 4, 1, 4, 6, 1, 8, 6, 1, 1, 8, 48, 1, 6, 1, 6, 8, 1, 1, 48, 1, 1, 4, 8, 1, 1, 8, 84, 6, 1, 1, 48, 1, 1, 36, 4, 24, 6, 1, 4, 6, 8, 1, 84, 1, 1, 8, 6, 12, 8, 1, 192, 1, 1, 1, 84, 16, 1, 8, 84, 1, 8]

cp's OEIS Frontend

A327791 Number of ways, up to order, of decomposing (Z/nZ)* as the internal direct product of r cyclic subgroups, where r = rank((Z/nZ)*).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	4
16	4
17	1
18	1
19	1
20	4
21	6
22	1
23	1
24	28
25	1
26	1
27	1
28	6
29	1
30	4
31	1
32	4
33	6
34	1
35	8
36	6
37	1
38	1
39	8
40	48
41	1
42	6
43	1
44	6
45	8
46	1
47	1
48	48
49	1
50	1
51	4
52	8
53	1
54	1
55	8
56	84
57	6
58	1
59	1
60	48
61	1
62	1
63	36
64	4
65	24
66	6
67	1
68	4
69	6
70	8
71	1
72	84
73	1
74	1
75	8
76	6
77	12
78	8
79	1
80	192
81	1
82	1
83	1
84	84
85	16
86	1
87	8
88	84
89	1
90	8

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	4
16	4
17	1
18	1
19	1
20	4
21	6
22	1
23	1
24	28
25	1
26	1
27	1
28	6
29	1
30	4
31	1
32	4
33	6
34	1
35	8
36	6
37	1
38	1
39	8
40	48
41	1
42	6
43	1
44	6
45	8
46	1
47	1
48	48
49	1
50	1
51	4
52	8
53	1
54	1
55	8
56	84
57	6
58	1
59	1
60	48
61	1
62	1
63	36
64	4
65	24
66	6
67	1
68	4
69	6
70	8
71	1
72	84
73	1
74	1
75	8
76	6
77	12
78	8
79	1
80	192
81	1
82	1
83	1
84	84
85	16
86	1
87	8
88	84
89	1
90	8

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	1
10	1
11	1
12	3
13	1
14	1
15	4
16	4
17	1
18	1
19	1
20	4
21	6
22	1
23	1
24	28
25	1
26	1
27	1
28	6
29	1
30	4
31	1
32	4
33	6
34	1
35	8
36	6
37	1
38	1
39	8
40	48
41	1
42	6
43	1
44	6
45	8
46	1
47	1
48	48
49	1
50	1
51	4
52	8
53	1
54	1
55	8
56	84
57	6
58	1
59	1
60	48
61	1
62	1
63	36
64	4
65	24
66	6
67	1
68	4
69	6
70	8
71	1
72	84
73	1
74	1
75	8
76	6
77	12
78	8
79	1
80	192
81	1
82	1
83	1
84	84
85	16
86	1
87	8
88	84
89	1
90	8