A348910 - cp's OEIS frontend

A348910 a(n) is the "real" 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 A348911 gives "w" parts.

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

[0, 1, 0, -1, -2, -1, -2, -3, 0, 1, 0, -1, 2, 3, 2, 1, 4, 5, 4, 3, 2, 3, 2, 1, 4, 5, 4, 3, 6, 7, 6, 5, 0, 1, 0, -1, -2, -1, -2, -3, 0, 1, 0, -1, 2, 3, 2, 1, -4, -3, -4, -5, -6, -5, -6, -7, -4, -3, -4, -5, -2, -1, -2, -3, -8, -7, -8, -9, -10, -9, -10, -11, -8]

cp's OEIS Frontend

A348910 a(n) is the "real" 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 A348911 gives "w" parts.

Table of values

List of values

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

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

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