A107331 - cp's OEIS frontend

A107331 An approximation to sigma_{1/2}(n): multiplicative with a(p^e) = floor((p^(e/2+1/2)-1)/(p^(1/2)-1)) for prime p.

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

[1, 2, 2, 4, 3, 4, 3, 7, 5, 6, 4, 8, 4, 6, 6, 11, 5, 10, 5, 12, 6, 8, 5, 14, 8, 8, 10, 12, 6, 12, 6, 16, 8, 10, 9, 20, 7, 10, 8, 21, 7, 12, 7, 16, 15, 10, 7, 22, 10, 16, 10, 16, 8, 20, 12, 21, 10, 12, 8, 24, 8, 12, 15, 24, 12, 16, 9, 20, 10, 18, 9, 35, 9, 14, 16, 20, 12, 16, 9, 33, 19, 14]

cp's OEIS Frontend

A107331 An approximation to sigma_{1/2}(n): multiplicative with a(p^e) = floor((p^(e/2+1/2)-1)/(p^(1/2)-1)) for prime p.

Table of values

List of values

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

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

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