A316089 - cp's OEIS frontend

A316089 Number of ordered (k_1, k_2, ..., k_r) such that (Z/nZ)* is isomorphic to C_{k_1} X C_{k_2} X ... X C_{k_r}. Here (Z/nZ)* is the multiplicative group of integers modulo n, r = rank((Z/nZ)*).

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

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 4, 2, 1, 1, 4, 3, 1, 2, 1, 2, 4, 1, 1, 3, 1, 1, 2, 4, 1, 1, 4, 3, 2, 1, 1, 3, 1, 1, 1, 2, 2, 2, 1, 2, 2, 4, 1, 3, 1, 1, 4, 2, 4, 4, 1, 3, 1, 1, 1, 3, 2, 1, 4]

cp's OEIS Frontend

A316089 Number of ordered (k_1, k_2, ..., k_r) such that (Z/nZ)* is isomorphic to C_{k_1} X C_{k_2} X ... X C_{k_r}. Here (Z/nZ)* is the multiplicative group of integers modulo n, 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	1
9	1
10	1
11	1
12	1
13	1
14	1
15	2
16	2
17	1
18	1
19	1
20	2
21	2
22	1
23	1
24	1
25	1
26	1
27	1
28	2
29	1
30	2
31	1
32	2
33	2
34	1
35	4
36	2
37	1
38	1
39	4
40	3
41	1
42	2
43	1
44	2
45	4
46	1
47	1
48	3
49	1
50	1
51	2
52	4
53	1
54	1
55	4
56	3
57	2
58	1
59	1
60	3
61	1
62	1
63	1
64	2
65	2
66	2
67	1
68	2
69	2
70	4
71	1
72	3
73	1
74	1
75	4
76	2
77	4
78	4
79	1
80	3
81	1
82	1
83	1
84	3
85	2
86	1
87	4

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

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