A369741 - cp's OEIS frontend

A369741 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	4
9	3
10	7
11	1
12	13
13	1
14	9
15	8
16	8
17	1
18	13
19	1
20	29
21	10
22	13
23	1
24	35
25	5
26	15
27	9
28	53
29	1
30	38
31	1
32	16
33	14
34	19
35	12
36	35
37	1
38	21
39	16
40	133
41	1
42	62
43	1
44	125
45	34
46	25
47	1
48	97
49	7
50	29
51	20
52	173
53	1
54	35
55	16
56	351
57	22
58	31
59	1
60	160
61	1
62	33
63	58
64	32
65	18
66	134
67	1
68	293
69	26
70	78
71	1
72	97
73	1
74	39

[0, 1, 1, 2, 1, 5, 1, 4, 3, 7, 1, 13, 1, 9, 8, 8, 1, 13, 1, 29, 10, 13, 1, 35, 5, 15, 9, 53, 1, 38, 1, 16, 14, 19, 12, 35, 1, 21, 16, 133, 1, 62, 1, 125, 34, 25, 1, 97, 7, 29, 20, 173, 1, 35, 16, 351, 22, 31, 1, 160, 1, 33, 58, 32, 18, 134, 1, 293, 26, 78, 1, 97, 1, 39]

cp's OEIS Frontend

A369741 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	4
9	3
10	7
11	1
12	13
13	1
14	9
15	8
16	8
17	1
18	13
19	1
20	29
21	10
22	13
23	1
24	35
25	5
26	15
27	9
28	53
29	1
30	38
31	1
32	16
33	14
34	19
35	12
36	35
37	1
38	21
39	16
40	133
41	1
42	62
43	1
44	125
45	34
46	25
47	1
48	97
49	7
50	29
51	20
52	173
53	1
54	35
55	16
56	351
57	22
58	31
59	1
60	160
61	1
62	33
63	58
64	32
65	18
66	134
67	1
68	293
69	26
70	78
71	1
72	97
73	1
74	39

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	5
7	1
8	4
9	3
10	7
11	1
12	13
13	1
14	9
15	8
16	8
17	1
18	13
19	1
20	29
21	10
22	13
23	1
24	35
25	5
26	15
27	9
28	53
29	1
30	38
31	1
32	16
33	14
34	19
35	12
36	35
37	1
38	21
39	16
40	133
41	1
42	62
43	1
44	125
45	34
46	25
47	1
48	97
49	7
50	29
51	20
52	173
53	1
54	35
55	16
56	351
57	22
58	31
59	1
60	160
61	1
62	33
63	58
64	32
65	18
66	134
67	1
68	293
69	26
70	78
71	1
72	97
73	1
74	39

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	5
7	1
8	4
9	3
10	7
11	1
12	13
13	1
14	9
15	8
16	8
17	1
18	13
19	1
20	29
21	10
22	13
23	1
24	35
25	5
26	15
27	9
28	53
29	1
30	38
31	1
32	16
33	14
34	19
35	12
36	35
37	1
38	21
39	16
40	133
41	1
42	62
43	1
44	125
45	34
46	25
47	1
48	97
49	7
50	29
51	20
52	173
53	1
54	35
55	16
56	351
57	22
58	31
59	1
60	160
61	1
62	33
63	58
64	32
65	18
66	134
67	1
68	293
69	26
70	78
71	1
72	97
73	1
74	39