A069088 - cp's OEIS frontend

A069088 a(n) = Sum_{d|n} core(d) where d are the divisors of n and where core(d) is the squarefree part of d: the smallest number such that d*core(d) is a square.

n	a(n)
1	1
2	3
3	4
4	4
5	6
6	12
7	8
8	6
9	5
10	18
11	12
12	16
13	14
14	24
15	24
16	7
17	18
18	15
19	20
20	24
21	32
22	36
23	24
24	24
25	7
26	42
27	8
28	32
29	30
30	72
31	32
32	9
33	48
34	54
35	48
36	20
37	38
38	60
39	56
40	36
41	42
42	96
43	44
44	48
45	30
46	72
47	48
48	28
49	9
50	21
51	72
52	56
53	54
54	24
55	72
56	48
57	80
58	90
59	60
60	96
61	62
62	96
63	40
64	10
65	84
66	144
67	68
68	72
69	96
70	144
71	72
72	30
73	74

[1, 3, 4, 4, 6, 12, 8, 6, 5, 18, 12, 16, 14, 24, 24, 7, 18, 15, 20, 24, 32, 36, 24, 24, 7, 42, 8, 32, 30, 72, 32, 9, 48, 54, 48, 20, 38, 60, 56, 36, 42, 96, 44, 48, 30, 72, 48, 28, 9, 21, 72, 56, 54, 24, 72, 48, 80, 90, 60, 96, 62, 96, 40, 10, 84, 144, 68, 72, 96, 144, 72, 30, 74]

cp's OEIS Frontend

A069088 a(n) = Sum_{d|n} core(d) where d are the divisors of n and where core(d) is the squarefree part of d: the smallest number such that d*core(d) is a square.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	4
5	6
6	12
7	8
8	6
9	5
10	18
11	12
12	16
13	14
14	24
15	24
16	7
17	18
18	15
19	20
20	24
21	32
22	36
23	24
24	24
25	7
26	42
27	8
28	32
29	30
30	72
31	32
32	9
33	48
34	54
35	48
36	20
37	38
38	60
39	56
40	36
41	42
42	96
43	44
44	48
45	30
46	72
47	48
48	28
49	9
50	21
51	72
52	56
53	54
54	24
55	72
56	48
57	80
58	90
59	60
60	96
61	62
62	96
63	40
64	10
65	84
66	144
67	68
68	72
69	96
70	144
71	72
72	30
73	74

n	a(n)
1	1
2	3
3	4
4	4
5	6
6	12
7	8
8	6
9	5
10	18
11	12
12	16
13	14
14	24
15	24
16	7
17	18
18	15
19	20
20	24
21	32
22	36
23	24
24	24
25	7
26	42
27	8
28	32
29	30
30	72
31	32
32	9
33	48
34	54
35	48
36	20
37	38
38	60
39	56
40	36
41	42
42	96
43	44
44	48
45	30
46	72
47	48
48	28
49	9
50	21
51	72
52	56
53	54
54	24
55	72
56	48
57	80
58	90
59	60
60	96
61	62
62	96
63	40
64	10
65	84
66	144
67	68
68	72
69	96
70	144
71	72
72	30
73	74

n	a(n)
1	1
2	3
3	4
4	4
5	6
6	12
7	8
8	6
9	5
10	18
11	12
12	16
13	14
14	24
15	24
16	7
17	18
18	15
19	20
20	24
21	32
22	36
23	24
24	24
25	7
26	42
27	8
28	32
29	30
30	72
31	32
32	9
33	48
34	54
35	48
36	20
37	38
38	60
39	56
40	36
41	42
42	96
43	44
44	48
45	30
46	72
47	48
48	28
49	9
50	21
51	72
52	56
53	54
54	24
55	72
56	48
57	80
58	90
59	60
60	96
61	62
62	96
63	40
64	10
65	84
66	144
67	68
68	72
69	96
70	144
71	72
72	30
73	74