A348911 - cp's OEIS frontend

A348911 a(n) is the "w" part of f(n) = Sum_{k>=0, d_k>0} w^(d_k-1) * (-2)^k where Sum_{k>=0} d_k * 4^k is the base-4 representation of n and w = -1/2 + sqrt(-3)/2 is a primitive cube root of unity; sequence A348910 gives "real" parts.

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

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

cp's OEIS Frontend

A348911 a(n) is the "w" part of f(n) = Sum_{k>=0, d_k>0} w^(d_k-1) * (-2)^k where Sum_{k>=0} d_k * 4^k is the base-4 representation of n and w = -1/2 + sqrt(-3)/2 is a primitive cube root of unity; sequence A348910 gives "real" parts.

Table of values

List of values

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

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

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