A355028 - cp's OEIS frontend

A355028 a(n) is the maximum number of distinct prime signatures of numbers with n prime divisors (counted with multiplicity) that have the same number of divisors.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	4
16	5
17	5
18	5
19	6
20	6
21	7
22	9
23	9
24	11
25	12
26	13
27	14
28	16
29	17
30	19
31	23
32	26
33	30
34	32
35	35
36	38
37	40
38	43
39	51
40	56
41	62
42	68
43	74
44	80
45	86
46	94
47	106
48	118
49	128
50	140
51	152
52	167
53	179
54	197
55	221
56	247
57	272
58	298
59	325
60	353
61	384
62	425
63	473
64	522
65	567
66	631

[1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 9, 9, 11, 12, 13, 14, 16, 17, 19, 23, 26, 30, 32, 35, 38, 40, 43, 51, 56, 62, 68, 74, 80, 86, 94, 106, 118, 128, 140, 152, 167, 179, 197, 221, 247, 272, 298, 325, 353, 384, 425, 473, 522, 567, 631]

cp's OEIS Frontend

A355028 a(n) is the maximum number of distinct prime signatures of numbers with n prime divisors (counted with multiplicity) that have the same number of divisors.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	4
16	5
17	5
18	5
19	6
20	6
21	7
22	9
23	9
24	11
25	12
26	13
27	14
28	16
29	17
30	19
31	23
32	26
33	30
34	32
35	35
36	38
37	40
38	43
39	51
40	56
41	62
42	68
43	74
44	80
45	86
46	94
47	106
48	118
49	128
50	140
51	152
52	167
53	179
54	197
55	221
56	247
57	272
58	298
59	325
60	353
61	384
62	425
63	473
64	522
65	567
66	631

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	4
16	5
17	5
18	5
19	6
20	6
21	7
22	9
23	9
24	11
25	12
26	13
27	14
28	16
29	17
30	19
31	23
32	26
33	30
34	32
35	35
36	38
37	40
38	43
39	51
40	56
41	62
42	68
43	74
44	80
45	86
46	94
47	106
48	118
49	128
50	140
51	152
52	167
53	179
54	197
55	221
56	247
57	272
58	298
59	325
60	353
61	384
62	425
63	473
64	522
65	567
66	631

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	3
12	3
13	4
14	4
15	4
16	5
17	5
18	5
19	6
20	6
21	7
22	9
23	9
24	11
25	12
26	13
27	14
28	16
29	17
30	19
31	23
32	26
33	30
34	32
35	35
36	38
37	40
38	43
39	51
40	56
41	62
42	68
43	74
44	80
45	86
46	94
47	106
48	118
49	128
50	140
51	152
52	167
53	179
54	197
55	221
56	247
57	272
58	298
59	325
60	353
61	384
62	425
63	473
64	522
65	567
66	631