A351465 - cp's OEIS frontend

A351465 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 imaginary part of f(n). See A351464 for the real part.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	4
11	1
12	5
13	1
14	5
15	5
16	4
17	1
18	4
19	1
20	7
21	6
22	6
23	1
24	7
25	2
26	7
27	3
28	9
29	1
30	10
31	1
32	5
33	7
34	8
35	7
36	6
37	1
38	9
39	8
40	10
41	1
42	13
43	1
44	11
45	8
46	10
47	1
48	9
49	2
50	5
51	9
52	13
53	1
54	5
55	8
56	13
57	10
58	11
59	1
60	15
61	1
62	12
63	10
64	6
65	9
66	16
67	1
68	15
69	11
70	18
71	1
72	8
73	1
74	13
75	7
76	17
77	9
78	19
79	1
80	13

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

cp's OEIS Frontend

A351465 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 imaginary part of f(n). See A351464 for the real part.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	4
11	1
12	5
13	1
14	5
15	5
16	4
17	1
18	4
19	1
20	7
21	6
22	6
23	1
24	7
25	2
26	7
27	3
28	9
29	1
30	10
31	1
32	5
33	7
34	8
35	7
36	6
37	1
38	9
39	8
40	10
41	1
42	13
43	1
44	11
45	8
46	10
47	1
48	9
49	2
50	5
51	9
52	13
53	1
54	5
55	8
56	13
57	10
58	11
59	1
60	15
61	1
62	12
63	10
64	6
65	9
66	16
67	1
68	15
69	11
70	18
71	1
72	8
73	1
74	13
75	7
76	17
77	9
78	19
79	1
80	13

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	4
11	1
12	5
13	1
14	5
15	5
16	4
17	1
18	4
19	1
20	7
21	6
22	6
23	1
24	7
25	2
26	7
27	3
28	9
29	1
30	10
31	1
32	5
33	7
34	8
35	7
36	6
37	1
38	9
39	8
40	10
41	1
42	13
43	1
44	11
45	8
46	10
47	1
48	9
49	2
50	5
51	9
52	13
53	1
54	5
55	8
56	13
57	10
58	11
59	1
60	15
61	1
62	12
63	10
64	6
65	9
66	16
67	1
68	15
69	11
70	18
71	1
72	8
73	1
74	13
75	7
76	17
77	9
78	19
79	1
80	13

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	3
7	1
8	3
9	2
10	4
11	1
12	5
13	1
14	5
15	5
16	4
17	1
18	4
19	1
20	7
21	6
22	6
23	1
24	7
25	2
26	7
27	3
28	9
29	1
30	10
31	1
32	5
33	7
34	8
35	7
36	6
37	1
38	9
39	8
40	10
41	1
42	13
43	1
44	11
45	8
46	10
47	1
48	9
49	2
50	5
51	9
52	13
53	1
54	5
55	8
56	13
57	10
58	11
59	1
60	15
61	1
62	12
63	10
64	6
65	9
66	16
67	1
68	15
69	11
70	18
71	1
72	8
73	1
74	13
75	7
76	17
77	9
78	19
79	1
80	13