A369743 - cp's OEIS frontend

A369743 a(n) = Sum_{p|n, p prime} p * Omega(n/p).

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	5
7	0
8	4
9	3
10	7
11	0
12	10
13	0
14	9
15	8
16	6
17	0
18	10
19	0
20	14
21	10
22	13
23	0
24	15
25	5
26	15
27	6
28	18
29	0
30	20
31	0
32	8
33	14
34	19
35	12
36	15
37	0
38	21
39	16
40	21
41	0
42	24
43	0
44	26
45	16
46	25
47	0
48	20
49	7
50	14
51	20
52	30
53	0
54	15
55	16
56	27
57	22
58	31
59	0
60	30
61	0
62	33
63	20
64	10
65	18
66	32
67	0
68	38
69	26
70	28
71	0
72	20
73	0
74	39
75	16

[0, 0, 0, 2, 0, 5, 0, 4, 3, 7, 0, 10, 0, 9, 8, 6, 0, 10, 0, 14, 10, 13, 0, 15, 5, 15, 6, 18, 0, 20, 0, 8, 14, 19, 12, 15, 0, 21, 16, 21, 0, 24, 0, 26, 16, 25, 0, 20, 7, 14, 20, 30, 0, 15, 16, 27, 22, 31, 0, 30, 0, 33, 20, 10, 18, 32, 0, 38, 26, 28, 0, 20, 0, 39, 16]

cp's OEIS Frontend

A369743 a(n) = Sum_{p|n, p prime} p * Omega(n/p).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	5
7	0
8	4
9	3
10	7
11	0
12	10
13	0
14	9
15	8
16	6
17	0
18	10
19	0
20	14
21	10
22	13
23	0
24	15
25	5
26	15
27	6
28	18
29	0
30	20
31	0
32	8
33	14
34	19
35	12
36	15
37	0
38	21
39	16
40	21
41	0
42	24
43	0
44	26
45	16
46	25
47	0
48	20
49	7
50	14
51	20
52	30
53	0
54	15
55	16
56	27
57	22
58	31
59	0
60	30
61	0
62	33
63	20
64	10
65	18
66	32
67	0
68	38
69	26
70	28
71	0
72	20
73	0
74	39
75	16

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	5
7	0
8	4
9	3
10	7
11	0
12	10
13	0
14	9
15	8
16	6
17	0
18	10
19	0
20	14
21	10
22	13
23	0
24	15
25	5
26	15
27	6
28	18
29	0
30	20
31	0
32	8
33	14
34	19
35	12
36	15
37	0
38	21
39	16
40	21
41	0
42	24
43	0
44	26
45	16
46	25
47	0
48	20
49	7
50	14
51	20
52	30
53	0
54	15
55	16
56	27
57	22
58	31
59	0
60	30
61	0
62	33
63	20
64	10
65	18
66	32
67	0
68	38
69	26
70	28
71	0
72	20
73	0
74	39
75	16

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	5
7	0
8	4
9	3
10	7
11	0
12	10
13	0
14	9
15	8
16	6
17	0
18	10
19	0
20	14
21	10
22	13
23	0
24	15
25	5
26	15
27	6
28	18
29	0
30	20
31	0
32	8
33	14
34	19
35	12
36	15
37	0
38	21
39	16
40	21
41	0
42	24
43	0
44	26
45	16
46	25
47	0
48	20
49	7
50	14
51	20
52	30
53	0
54	15
55	16
56	27
57	22
58	31
59	0
60	30
61	0
62	33
63	20
64	10
65	18
66	32
67	0
68	38
69	26
70	28
71	0
72	20
73	0
74	39
75	16