A348690 - cp's OEIS frontend

A348690 For any nonnegative number n with binary expansion Sum_{k >= 0} b_k * 2^k, a(n) is the real part of f(n) = Sum_{k >= 0} b_k * (i^Sum_{j = 0..k-1} b_j) * (1+i)^k (where i denotes the imaginary unit); sequence A348691 gives the imaginary part.

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

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

cp's OEIS Frontend

A348690 For any nonnegative number n with binary expansion Sum_{k >= 0} b_k * 2^k, a(n) is the real part of f(n) = Sum_{k >= 0} b_k * (i^Sum_{j = 0..k-1} b_j) * (1+i)^k (where i denotes the imaginary unit); sequence A348691 gives the imaginary part.

Table of values

List of values

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

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

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