A348760 - cp's OEIS frontend

A348760 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} ((-1)^Sum_{j = 0..k-1} b_j) * (1+i)^k (where i denotes the imaginary unit); sequence A348761 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	3
10	3
11	-2
12	2
13	-1
14	-1
15	2
16	-4
17	5
18	5
19	-4
20	4
21	-3
22	-3
23	4
24	2
25	-1
26	-1
27	2
28	-2
29	3
30	3
31	-2
32	-4
33	5
34	5
35	-4
36	4
37	-3
38	-3
39	4
40	2
41	-1
42	-1
43	2
44	-2
45	3
46	3
47	-2
48	0
49	1
50	1
51	0
52	0
53	1
54	1
55	0
56	-2
57	3
58	3
59	-2
60	2
61	-1
62	-1
63	2
64	0
65	1
66	1
67	0
68	0
69	1
70	1
71	0
72	-2
73	3
74	3
75	-2
76	2
77	-1

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

cp's OEIS Frontend

A348760 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} ((-1)^Sum_{j = 0..k-1} b_j) * (1+i)^k (where i denotes the imaginary unit); sequence A348761 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	3
10	3
11	-2
12	2
13	-1
14	-1
15	2
16	-4
17	5
18	5
19	-4
20	4
21	-3
22	-3
23	4
24	2
25	-1
26	-1
27	2
28	-2
29	3
30	3
31	-2
32	-4
33	5
34	5
35	-4
36	4
37	-3
38	-3
39	4
40	2
41	-1
42	-1
43	2
44	-2
45	3
46	3
47	-2
48	0
49	1
50	1
51	0
52	0
53	1
54	1
55	0
56	-2
57	3
58	3
59	-2
60	2
61	-1
62	-1
63	2
64	0
65	1
66	1
67	0
68	0
69	1
70	1
71	0
72	-2
73	3
74	3
75	-2
76	2
77	-1

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

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