A351464 - cp's OEIS frontend

A351464 Let f be multiplicative with f(prime(k)^e) = k + e*i for any k, e > 0 (where i denotes the imaginary unit); a(n) is the real part of f(n). See A351465 for the imaginary part.

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

[1, 1, 2, 1, 3, 1, 4, 1, 2, 2, 5, 0, 6, 3, 5, 1, 7, 0, 8, 1, 7, 4, 9, -1, 3, 5, 2, 2, 10, 0, 11, 1, 9, 6, 11, -2, 12, 7, 11, 0, 13, 1, 14, 3, 4, 8, 15, -2, 4, 1, 13, 4, 16, -1, 14, 1, 15, 9, 17, -5, 18, 10, 6, 1, 17, 2, 19, 5, 17, 4, 20, -4, 21, 11, 4, 6, 19, 3]

cp's OEIS Frontend

A351464 Let f be multiplicative with f(prime(k)^e) = k + e*i for any k, e > 0 (where i denotes the imaginary unit); a(n) is the real part of f(n). See A351465 for the imaginary part.

Table of values

List of values

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

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

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