A370816 - cp's OEIS frontend

A370816 Greatest number of multisets that can be obtained by choosing a divisor of each factor in an integer factorization of n into unordered factors > 1.

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

[1, 2, 2, 3, 2, 4, 2, 5, 3, 4, 2, 7, 2, 4, 4, 7, 2, 7, 2, 7, 4, 4, 2, 11, 3, 4, 5, 7, 2, 8, 2, 10, 4, 4, 4, 12, 2, 4, 4, 11, 2, 8, 2, 7, 7, 4, 2, 17, 3, 7, 4, 7, 2, 11, 4, 11, 4, 4, 2, 15, 2, 4, 7, 14, 4, 8, 2, 7, 4, 8, 2, 20, 2, 4, 7, 7, 4, 8, 2, 17, 7, 4, 2]

cp's OEIS Frontend

A370816 Greatest number of multisets that can be obtained by choosing a divisor of each factor in an integer factorization of n into unordered factors > 1.

Table of values

List of values

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

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

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