A345355 - cp's OEIS frontend

A345355 a(n) = Sum_{p|n, p prime} p^omega(n/p).

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	5
7	1
8	2
9	3
10	7
11	1
12	7
13	1
14	9
15	8
16	2
17	1
18	11
19	1
20	9
21	10
22	13
23	1
24	7
25	5
26	15
27	3
28	11
29	1
30	38
31	1
32	2
33	14
34	19
35	12
36	13
37	1
38	21
39	16
40	9
41	1
42	62
43	1
44	15
45	14
46	25
47	1
48	7
49	7
50	27
51	20
52	17
53	1
54	11
55	16
56	11
57	22
58	31
59	1
60	42
61	1
62	33
63	16
64	2
65	18
66	134
67	1
68	21
69	26
70	78
71	1
72	13
73	1
74	39
75	28
76	23
77	18
78	182

[0, 1, 1, 2, 1, 5, 1, 2, 3, 7, 1, 7, 1, 9, 8, 2, 1, 11, 1, 9, 10, 13, 1, 7, 5, 15, 3, 11, 1, 38, 1, 2, 14, 19, 12, 13, 1, 21, 16, 9, 1, 62, 1, 15, 14, 25, 1, 7, 7, 27, 20, 17, 1, 11, 16, 11, 22, 31, 1, 42, 1, 33, 16, 2, 18, 134, 1, 21, 26, 78, 1, 13, 1, 39, 28, 23, 18, 182]

cp's OEIS Frontend

A345355 a(n) = Sum_{p|n, p prime} p^omega(n/p).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	5
7	1
8	2
9	3
10	7
11	1
12	7
13	1
14	9
15	8
16	2
17	1
18	11
19	1
20	9
21	10
22	13
23	1
24	7
25	5
26	15
27	3
28	11
29	1
30	38
31	1
32	2
33	14
34	19
35	12
36	13
37	1
38	21
39	16
40	9
41	1
42	62
43	1
44	15
45	14
46	25
47	1
48	7
49	7
50	27
51	20
52	17
53	1
54	11
55	16
56	11
57	22
58	31
59	1
60	42
61	1
62	33
63	16
64	2
65	18
66	134
67	1
68	21
69	26
70	78
71	1
72	13
73	1
74	39
75	28
76	23
77	18
78	182

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	5
7	1
8	2
9	3
10	7
11	1
12	7
13	1
14	9
15	8
16	2
17	1
18	11
19	1
20	9
21	10
22	13
23	1
24	7
25	5
26	15
27	3
28	11
29	1
30	38
31	1
32	2
33	14
34	19
35	12
36	13
37	1
38	21
39	16
40	9
41	1
42	62
43	1
44	15
45	14
46	25
47	1
48	7
49	7
50	27
51	20
52	17
53	1
54	11
55	16
56	11
57	22
58	31
59	1
60	42
61	1
62	33
63	16
64	2
65	18
66	134
67	1
68	21
69	26
70	78
71	1
72	13
73	1
74	39
75	28
76	23
77	18
78	182

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	5
7	1
8	2
9	3
10	7
11	1
12	7
13	1
14	9
15	8
16	2
17	1
18	11
19	1
20	9
21	10
22	13
23	1
24	7
25	5
26	15
27	3
28	11
29	1
30	38
31	1
32	2
33	14
34	19
35	12
36	13
37	1
38	21
39	16
40	9
41	1
42	62
43	1
44	15
45	14
46	25
47	1
48	7
49	7
50	27
51	20
52	17
53	1
54	11
55	16
56	11
57	22
58	31
59	1
60	42
61	1
62	33
63	16
64	2
65	18
66	134
67	1
68	21
69	26
70	78
71	1
72	13
73	1
74	39
75	28
76	23
77	18
78	182