A349837 - cp's OEIS frontend

A349837 a(n) is the number of integers m > 1 such that sigma(m) = tau(m)^n, with a(1) = 1.

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

[1, 1, 1, 2, 3, 3, 3, 5, 4, 5, 5, 7, 9, 5, 6, 2, 7, 7, 5, 6, 5, 9, 6, 11, 6, 12, 10, 12, 14, 11, 13, 21, 16, 20, 19, 20, 19, 21, 21, 19, 17, 21, 18, 22, 19, 22, 20, 17, 17, 15, 23, 14, 17, 12, 16, 9, 11, 12, 10, 9, 9, 7, 10, 3, 8, 7, 6, 3, 7, 4, 4, 4, 3, 3, 2]

cp's OEIS Frontend

A349837 a(n) is the number of integers m > 1 such that sigma(m) = tau(m)^n, with a(1) = 1.

Table of values

List of values

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

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

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