A318704 - cp's OEIS frontend

A318704 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 square of the modulus of f(n).

n	a(n)
0	0
1	1
2	1
3	2
4	4
5	1
6	5
7	2
8	4
9	5
10	1
11	2
12	8
13	5
14	5
15	2
16	16
17	25
18	17
19	26
20	4
21	9
22	5
23	10
24	20
25	29
26	17
27	26
28	8
29	13
30	5
31	10
32	16
33	17
34	25
35	26
36	20
37	17
38	29
39	26
40	4
41	5
42	9
43	10
44	8
45	5
46	13
47	10
48	32
49	41
50	41
51	50
52	20
53	25
54	29
55	34
56	20
57	29
58	25
59	34
60	8
61	13
62	13
63	18
64	64
65	49
66	65
67	50
68	100
69	81
70	101

[0, 1, 1, 2, 4, 1, 5, 2, 4, 5, 1, 2, 8, 5, 5, 2, 16, 25, 17, 26, 4, 9, 5, 10, 20, 29, 17, 26, 8, 13, 5, 10, 16, 17, 25, 26, 20, 17, 29, 26, 4, 5, 9, 10, 8, 5, 13, 10, 32, 41, 41, 50, 20, 25, 29, 34, 20, 29, 25, 34, 8, 13, 13, 18, 64, 49, 65, 50, 100, 81, 101]

cp's OEIS Frontend

A318704 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 square of the modulus of f(n).

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	2
4	4
5	1
6	5
7	2
8	4
9	5
10	1
11	2
12	8
13	5
14	5
15	2
16	16
17	25
18	17
19	26
20	4
21	9
22	5
23	10
24	20
25	29
26	17
27	26
28	8
29	13
30	5
31	10
32	16
33	17
34	25
35	26
36	20
37	17
38	29
39	26
40	4
41	5
42	9
43	10
44	8
45	5
46	13
47	10
48	32
49	41
50	41
51	50
52	20
53	25
54	29
55	34
56	20
57	29
58	25
59	34
60	8
61	13
62	13
63	18
64	64
65	49
66	65
67	50
68	100
69	81
70	101

n	a(n)
0	0
1	1
2	1
3	2
4	4
5	1
6	5
7	2
8	4
9	5
10	1
11	2
12	8
13	5
14	5
15	2
16	16
17	25
18	17
19	26
20	4
21	9
22	5
23	10
24	20
25	29
26	17
27	26
28	8
29	13
30	5
31	10
32	16
33	17
34	25
35	26
36	20
37	17
38	29
39	26
40	4
41	5
42	9
43	10
44	8
45	5
46	13
47	10
48	32
49	41
50	41
51	50
52	20
53	25
54	29
55	34
56	20
57	29
58	25
59	34
60	8
61	13
62	13
63	18
64	64
65	49
66	65
67	50
68	100
69	81
70	101

n	a(n)
0	0
1	1
2	1
3	2
4	4
5	1
6	5
7	2
8	4
9	5
10	1
11	2
12	8
13	5
14	5
15	2
16	16
17	25
18	17
19	26
20	4
21	9
22	5
23	10
24	20
25	29
26	17
27	26
28	8
29	13
30	5
31	10
32	16
33	17
34	25
35	26
36	20
37	17
38	29
39	26
40	4
41	5
42	9
43	10
44	8
45	5
46	13
47	10
48	32
49	41
50	41
51	50
52	20
53	25
54	29
55	34
56	20
57	29
58	25
59	34
60	8
61	13
62	13
63	18
64	64
65	49
66	65
67	50
68	100
69	81
70	101