A318702 - cp's OEIS frontend

A318702 For any n >= 0 with binary expansion Sum_{k=0..w} b_k * 2^k, let f(n) = Sum_{k=0..w} b_k * i^k * 2^floor(k/2) (where i denotes the imaginary unit); a(n) is the real part of f(n).

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

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

cp's OEIS Frontend

A318702 For any n >= 0 with binary expansion Sum_{k=0..w} b_k * 2^k, let f(n) = Sum_{k=0..w} b_k * i^k * 2^floor(k/2) (where i denotes the imaginary unit); a(n) is the real part of f(n).

Table of values

List of values

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

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

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