A289311 - cp's OEIS frontend

A289311 Let f be the multiplicative function satisfying f(p^k) = (1 + p*I)^k for any prime p and k > 0 (where I^2 = -1); a(n) = the imaginary part of f(n).

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

[0, 2, 3, 4, 5, 5, 7, -2, 6, 7, 11, -5, 13, 9, 8, -24, 17, -10, 19, -11, 10, 13, 23, -35, 10, 15, -18, -17, 29, -20, 31, -38, 14, 19, 12, -50, 37, 21, 16, -57, 41, -30, 43, -29, -34, 25, 47, -45, 14, -38, 20, -35, 53, -70, 16, -79, 22, 31, 59, -80, 61, 33, -50]

cp's OEIS Frontend

A289311 Let f be the multiplicative function satisfying f(p^k) = (1 + p*I)^k for any prime p and k > 0 (where I^2 = -1); a(n) = the imaginary part of f(n).

Table of values

List of values

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

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

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