A318479 - cp's OEIS frontend

A318479 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 square of the modulus of h(n).

n	a(n)
0	0
1	1
2	2
3	1
4	4
5	5
6	2
7	1
8	8
9	13
10	10
11	13
12	4
13	9
14	2
15	5
16	16
17	9
18	26
19	17
20	20
21	13
22	26
23	17
24	8
25	5
26	18
27	13
28	4
29	1
30	10
31	5
32	32
33	41
34	18
35	25
36	52
37	61
38	34
39	41
40	40
41	53
42	26
43	37
44	52
45	65
46	34
47	45
48	16
49	17
50	10
51	9
52	36
53	37
54	26
55	25
56	8
57	13
58	2
59	5
60	20
61	25
62	10
63	13
64	64
65	65
66	82
67	81
68	36
69	37
70	50

[0, 1, 2, 1, 4, 5, 2, 1, 8, 13, 10, 13, 4, 9, 2, 5, 16, 9, 26, 17, 20, 13, 26, 17, 8, 5, 18, 13, 4, 1, 10, 5, 32, 41, 18, 25, 52, 61, 34, 41, 40, 53, 26, 37, 52, 65, 34, 45, 16, 17, 10, 9, 36, 37, 26, 25, 8, 13, 2, 5, 20, 25, 10, 13, 64, 65, 82, 81, 36, 37, 50]

cp's OEIS Frontend

A318479 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 square of the modulus of h(n).

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	1
4	4
5	5
6	2
7	1
8	8
9	13
10	10
11	13
12	4
13	9
14	2
15	5
16	16
17	9
18	26
19	17
20	20
21	13
22	26
23	17
24	8
25	5
26	18
27	13
28	4
29	1
30	10
31	5
32	32
33	41
34	18
35	25
36	52
37	61
38	34
39	41
40	40
41	53
42	26
43	37
44	52
45	65
46	34
47	45
48	16
49	17
50	10
51	9
52	36
53	37
54	26
55	25
56	8
57	13
58	2
59	5
60	20
61	25
62	10
63	13
64	64
65	65
66	82
67	81
68	36
69	37
70	50

n	a(n)
0	0
1	1
2	2
3	1
4	4
5	5
6	2
7	1
8	8
9	13
10	10
11	13
12	4
13	9
14	2
15	5
16	16
17	9
18	26
19	17
20	20
21	13
22	26
23	17
24	8
25	5
26	18
27	13
28	4
29	1
30	10
31	5
32	32
33	41
34	18
35	25
36	52
37	61
38	34
39	41
40	40
41	53
42	26
43	37
44	52
45	65
46	34
47	45
48	16
49	17
50	10
51	9
52	36
53	37
54	26
55	25
56	8
57	13
58	2
59	5
60	20
61	25
62	10
63	13
64	64
65	65
66	82
67	81
68	36
69	37
70	50

n	a(n)
0	0
1	1
2	2
3	1
4	4
5	5
6	2
7	1
8	8
9	13
10	10
11	13
12	4
13	9
14	2
15	5
16	16
17	9
18	26
19	17
20	20
21	13
22	26
23	17
24	8
25	5
26	18
27	13
28	4
29	1
30	10
31	5
32	32
33	41
34	18
35	25
36	52
37	61
38	34
39	41
40	40
41	53
42	26
43	37
44	52
45	65
46	34
47	45
48	16
49	17
50	10
51	9
52	36
53	37
54	26
55	25
56	8
57	13
58	2
59	5
60	20
61	25
62	10
63	13
64	64
65	65
66	82
67	81
68	36
69	37
70	50