A318703 - cp's OEIS frontend

A318703 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 imaginary part of f(n).

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	-1
12	-2
13	-2
14	-1
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	-1
28	-2
29	-2
30	-1
31	-1
32	4
33	4
34	5
35	5
36	4
37	4
38	5
39	5
40	2
41	2
42	3
43	3
44	2
45	2
46	3
47	3
48	4
49	4
50	5
51	5
52	4
53	4
54	5
55	5
56	2
57	2
58	3
59	3
60	2
61	2
62	3
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	-1
76	-2
77	-2
78	-1

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

cp's OEIS Frontend

A318703 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 imaginary part of f(n).

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	-1
12	-2
13	-2
14	-1
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	-1
28	-2
29	-2
30	-1
31	-1
32	4
33	4
34	5
35	5
36	4
37	4
38	5
39	5
40	2
41	2
42	3
43	3
44	2
45	2
46	3
47	3
48	4
49	4
50	5
51	5
52	4
53	4
54	5
55	5
56	2
57	2
58	3
59	3
60	2
61	2
62	3
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	-1
76	-2
77	-2
78	-1

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	-1
12	-2
13	-2
14	-1
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	-1
28	-2
29	-2
30	-1
31	-1
32	4
33	4
34	5
35	5
36	4
37	4
38	5
39	5
40	2
41	2
42	3
43	3
44	2
45	2
46	3
47	3
48	4
49	4
50	5
51	5
52	4
53	4
54	5
55	5
56	2
57	2
58	3
59	3
60	2
61	2
62	3
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	-1
76	-2
77	-2
78	-1

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	-1
12	-2
13	-2
14	-1
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	-1
28	-2
29	-2
30	-1
31	-1
32	4
33	4
34	5
35	5
36	4
37	4
38	5
39	5
40	2
41	2
42	3
43	3
44	2
45	2
46	3
47	3
48	4
49	4
50	5
51	5
52	4
53	4
54	5
55	5
56	2
57	2
58	3
59	3
60	2
61	2
62	3
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	-1
76	-2
77	-2
78	-1