A332205 - cp's OEIS frontend

A332205 a(n) is the imaginary part of f(n) defined by f(0) = 0, and f(n+1) = f(n) + g((1+i)^(A065359(n) mod 8)) (where g(z) = z/gcd(Re(z), Im(z)) and i denotes the imaginary unit).

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	0
13	0
14	1
15	0
16	0
17	1
18	2
19	2
20	3
21	4
22	5
23	6
24	7
25	7
26	8
27	7
28	7
29	8
30	9
31	9
32	10
33	9
34	9
35	8
36	7
37	7
38	8
39	7
40	7
41	6
42	5
43	4
44	3
45	2
46	2
47	1
48	0
49	0
50	1
51	0
52	0
53	1
54	2
55	2
56	3
57	2
58	2
59	1
60	0
61	0
62	1
63	0
64	0
65	1
66	2
67	2
68	3
69	4
70	5
71	6
72	7
73	7
74	8
75	7
76	7
77	8
78	9
79	9
80	10
81	11
82	12
83	13
84	14

[0, 0, 1, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 7, 7, 8, 9, 9, 10, 9, 9, 8, 7, 7, 8, 7, 7, 6, 5, 4, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 3, 4, 5, 6, 7, 7, 8, 7, 7, 8, 9, 9, 10, 11, 12, 13, 14]

cp's OEIS Frontend

A332205 a(n) is the imaginary part of f(n) defined by f(0) = 0, and f(n+1) = f(n) + g((1+i)^(A065359(n) mod 8)) (where g(z) = z/gcd(Re(z), Im(z)) and i denotes the imaginary unit).

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	0
13	0
14	1
15	0
16	0
17	1
18	2
19	2
20	3
21	4
22	5
23	6
24	7
25	7
26	8
27	7
28	7
29	8
30	9
31	9
32	10
33	9
34	9
35	8
36	7
37	7
38	8
39	7
40	7
41	6
42	5
43	4
44	3
45	2
46	2
47	1
48	0
49	0
50	1
51	0
52	0
53	1
54	2
55	2
56	3
57	2
58	2
59	1
60	0
61	0
62	1
63	0
64	0
65	1
66	2
67	2
68	3
69	4
70	5
71	6
72	7
73	7
74	8
75	7
76	7
77	8
78	9
79	9
80	10
81	11
82	12
83	13
84	14

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	0
13	0
14	1
15	0
16	0
17	1
18	2
19	2
20	3
21	4
22	5
23	6
24	7
25	7
26	8
27	7
28	7
29	8
30	9
31	9
32	10
33	9
34	9
35	8
36	7
37	7
38	8
39	7
40	7
41	6
42	5
43	4
44	3
45	2
46	2
47	1
48	0
49	0
50	1
51	0
52	0
53	1
54	2
55	2
56	3
57	2
58	2
59	1
60	0
61	0
62	1
63	0
64	0
65	1
66	2
67	2
68	3
69	4
70	5
71	6
72	7
73	7
74	8
75	7
76	7
77	8
78	9
79	9
80	10
81	11
82	12
83	13
84	14

n	a(n)
0	0
1	0
2	1
3	0
4	0
5	1
6	2
7	2
8	3
9	2
10	2
11	1
12	0
13	0
14	1
15	0
16	0
17	1
18	2
19	2
20	3
21	4
22	5
23	6
24	7
25	7
26	8
27	7
28	7
29	8
30	9
31	9
32	10
33	9
34	9
35	8
36	7
37	7
38	8
39	7
40	7
41	6
42	5
43	4
44	3
45	2
46	2
47	1
48	0
49	0
50	1
51	0
52	0
53	1
54	2
55	2
56	3
57	2
58	2
59	1
60	0
61	0
62	1
63	0
64	0
65	1
66	2
67	2
68	3
69	4
70	5
71	6
72	7
73	7
74	8
75	7
76	7
77	8
78	9
79	9
80	10
81	11
82	12
83	13
84	14