A173675 - cp's OEIS frontend

A173675 Let d_1, d_2, d_3, ..., d_tau(n) be the divisors of n; a(n) = number of permutations p of d_1, d_2, d_3, ..., d_tau(n) such that p_(i+1)/p_i is a prime or 1/prime for i = 1,2,...,tau(n)-1 and p_1 <= p_tau(n).

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	4
7	1
8	1
9	1
10	4
11	1
12	8
13	1
14	4
15	4
16	1
17	1
18	8
19	1
20	8
21	4
22	4
23	1
24	14
25	1
26	4
27	1
28	8
29	1
30	72
31	1
32	1
33	4
34	4
35	4
36	20
37	1
38	4
39	4
40	14
41	1
42	72
43	1
44	8
45	8
46	4
47	1
48	22
49	1
50	8
51	4
52	8
53	1
54	14
55	4
56	14
57	4
58	4
59	1
60	584
61	1
62	4
63	8
64	1
65	4
66	72
67	1
68	8
69	4
70	72
71	1
72	62
73	1
74	4
75	8
76	8
77	4
78	72
79	1
80	22
81	1
82	4

[1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 8, 1, 4, 4, 1, 1, 8, 1, 8, 4, 4, 1, 14, 1, 4, 1, 8, 1, 72, 1, 1, 4, 4, 4, 20, 1, 4, 4, 14, 1, 72, 1, 8, 8, 4, 1, 22, 1, 8, 4, 8, 1, 14, 4, 14, 4, 4, 1, 584, 1, 4, 8, 1, 4, 72, 1, 8, 4, 72, 1, 62, 1, 4, 8, 8, 4, 72, 1, 22, 1, 4]

cp's OEIS Frontend

A173675 Let d_1, d_2, d_3, ..., d_tau(n) be the divisors of n; a(n) = number of permutations p of d_1, d_2, d_3, ..., d_tau(n) such that p_(i+1)/p_i is a prime or 1/prime for i = 1,2,...,tau(n)-1 and p_1 <= p_tau(n).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	4
7	1
8	1
9	1
10	4
11	1
12	8
13	1
14	4
15	4
16	1
17	1
18	8
19	1
20	8
21	4
22	4
23	1
24	14
25	1
26	4
27	1
28	8
29	1
30	72
31	1
32	1
33	4
34	4
35	4
36	20
37	1
38	4
39	4
40	14
41	1
42	72
43	1
44	8
45	8
46	4
47	1
48	22
49	1
50	8
51	4
52	8
53	1
54	14
55	4
56	14
57	4
58	4
59	1
60	584
61	1
62	4
63	8
64	1
65	4
66	72
67	1
68	8
69	4
70	72
71	1
72	62
73	1
74	4
75	8
76	8
77	4
78	72
79	1
80	22
81	1
82	4

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	4
7	1
8	1
9	1
10	4
11	1
12	8
13	1
14	4
15	4
16	1
17	1
18	8
19	1
20	8
21	4
22	4
23	1
24	14
25	1
26	4
27	1
28	8
29	1
30	72
31	1
32	1
33	4
34	4
35	4
36	20
37	1
38	4
39	4
40	14
41	1
42	72
43	1
44	8
45	8
46	4
47	1
48	22
49	1
50	8
51	4
52	8
53	1
54	14
55	4
56	14
57	4
58	4
59	1
60	584
61	1
62	4
63	8
64	1
65	4
66	72
67	1
68	8
69	4
70	72
71	1
72	62
73	1
74	4
75	8
76	8
77	4
78	72
79	1
80	22
81	1
82	4

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	4
7	1
8	1
9	1
10	4
11	1
12	8
13	1
14	4
15	4
16	1
17	1
18	8
19	1
20	8
21	4
22	4
23	1
24	14
25	1
26	4
27	1
28	8
29	1
30	72
31	1
32	1
33	4
34	4
35	4
36	20
37	1
38	4
39	4
40	14
41	1
42	72
43	1
44	8
45	8
46	4
47	1
48	22
49	1
50	8
51	4
52	8
53	1
54	14
55	4
56	14
57	4
58	4
59	1
60	584
61	1
62	4
63	8
64	1
65	4
66	72
67	1
68	8
69	4
70	72
71	1
72	62
73	1
74	4
75	8
76	8
77	4
78	72
79	1
80	22
81	1
82	4