A318438 - cp's OEIS frontend

A318438 For any n >= 0 with binary expansion Sum_{k=0..w} b_k * 2^k, let h(n) = Sum_{k=0..w} b_k * (i-1)^k (where i denotes the imaginary unit); a(n) is the real part of h(n).

n	a(n)
0	0
1	1
2	-1
3	0
4	0
5	1
6	-1
7	0
8	2
9	3
10	1
11	2
12	2
13	3
14	1
15	2
16	-4
17	-3
18	-5
19	-4
20	-4
21	-3
22	-5
23	-4
24	-2
25	-1
26	-3
27	-2
28	-2
29	-1
30	-3
31	-2
32	4
33	5
34	3
35	4
36	4
37	5
38	3
39	4
40	6
41	7
42	5
43	6
44	6
45	7
46	5
47	6
48	0
49	1
50	-1
51	0
52	0
53	1
54	-1
55	0
56	2
57	3
58	1
59	2
60	2
61	3
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	1
75	2
76	2
77	3
78	1
79	2

[0, 1, -1, 0, 0, 1, -1, 0, 2, 3, 1, 2, 2, 3, 1, 2, -4, -3, -5, -4, -4, -3, -5, -4, -2, -1, -3, -2, -2, -1, -3, -2, 4, 5, 3, 4, 4, 5, 3, 4, 6, 7, 5, 6, 6, 7, 5, 6, 0, 1, -1, 0, 0, 1, -1, 0, 2, 3, 1, 2, 2, 3, 1, 2, 0, 1, -1, 0, 0, 1, -1, 0, 2, 3, 1, 2, 2, 3, 1, 2]

cp's OEIS Frontend

A318438 For any n >= 0 with binary expansion Sum_{k=0..w} b_k * 2^k, let h(n) = Sum_{k=0..w} b_k * (i-1)^k (where i denotes the imaginary unit); a(n) is the real part of h(n).

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	1
11	2
12	2
13	3
14	1
15	2
16	-4
17	-3
18	-5
19	-4
20	-4
21	-3
22	-5
23	-4
24	-2
25	-1
26	-3
27	-2
28	-2
29	-1
30	-3
31	-2
32	4
33	5
34	3
35	4
36	4
37	5
38	3
39	4
40	6
41	7
42	5
43	6
44	6
45	7
46	5
47	6
48	0
49	1
50	-1
51	0
52	0
53	1
54	-1
55	0
56	2
57	3
58	1
59	2
60	2
61	3
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	1
75	2
76	2
77	3
78	1
79	2

n	a(n)
0	0
1	1
2	-1
3	0
4	0
5	1
6	-1
7	0
8	2
9	3
10	1
11	2
12	2
13	3
14	1
15	2
16	-4
17	-3
18	-5
19	-4
20	-4
21	-3
22	-5
23	-4
24	-2
25	-1
26	-3
27	-2
28	-2
29	-1
30	-3
31	-2
32	4
33	5
34	3
35	4
36	4
37	5
38	3
39	4
40	6
41	7
42	5
43	6
44	6
45	7
46	5
47	6
48	0
49	1
50	-1
51	0
52	0
53	1
54	-1
55	0
56	2
57	3
58	1
59	2
60	2
61	3
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	1
75	2
76	2
77	3
78	1
79	2

n	a(n)
0	0
1	1
2	-1
3	0
4	0
5	1
6	-1
7	0
8	2
9	3
10	1
11	2
12	2
13	3
14	1
15	2
16	-4
17	-3
18	-5
19	-4
20	-4
21	-3
22	-5
23	-4
24	-2
25	-1
26	-3
27	-2
28	-2
29	-1
30	-3
31	-2
32	4
33	5
34	3
35	4
36	4
37	5
38	3
39	4
40	6
41	7
42	5
43	6
44	6
45	7
46	5
47	6
48	0
49	1
50	-1
51	0
52	0
53	1
54	-1
55	0
56	2
57	3
58	1
59	2
60	2
61	3
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	1
75	2
76	2
77	3
78	1
79	2