A326280 - cp's OEIS frontend

A326280 Let f(n) be a sequence of distinct Gaussian integers such that f(1) = 0 and for any n > 1, f(n) = f(floor(n/2)) + k(n)g((1+i)^(A000120(n)-1) (1-i)^A023416(n)) where k(n) > 0 is as small as possible and g(z) = z/gcd(Re(z), Im(z)); a(n) is the real part of f(n).

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

[0, 1, 1, 1, 2, 2, 1, 0, 2, 3, 3, 4, 3, 2, 0, -1, 0, 2, 3, 3, 4, 4, 3, 4, 5, 4, 3, 4, 2, 0, -1, -2, -2, -1, 1, 0, 3, 4, 6, 2, 4, 5, 7, 6, 5, 5, 2, 1, 5, 7, 8, 7, 6, 4, 1, 5, 5, 3, 0, 2, -1, -2, -2, -2, -3, -3, -2, -3, -1, 1, 5, -2, 0, 3, 6, 4, 6, 7, 6, 0, 2, 4]

cp's OEIS Frontend

A326280 Let f(n) be a sequence of distinct Gaussian integers such that f(1) = 0 and for any n > 1, f(n) = f(floor(n/2)) + k(n)g((1+i)^(A000120(n)-1) (1-i)^A023416(n)) where k(n) > 0 is as small as possible and g(z) = z/gcd(Re(z), Im(z)); a(n) is the real part of f(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A326280 Let f(n) be a sequence of distinct Gaussian integers such that f(1) = 0 and for any n > 1, f(n) = f(floor(n/2)) + k(n)*g((1+i)^(A000120(n)-1) * (1-i)^A023416(n)) where k(n) > 0 is as small as possible and g(z) = z/gcd(Re(z), Im(z)); a(n) is the real part of f(n).

Table of values

List of values

A326280 Let f(n) be a sequence of distinct Gaussian integers such that f(1) = 0 and for any n > 1, f(n) = f(floor(n/2)) + k(n)g((1+i)^(A000120(n)-1) (1-i)^A023416(n)) where k(n) > 0 is as small as possible and g(z) = z/gcd(Re(z), Im(z)); a(n) is the real part of f(n).

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