A330714 - cp's OEIS frontend

A330714 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^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	1
3	2
4	1
5	0
6	2
7	1
8	1
9	2
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	4
18	2
19	5
20	0
21	1
22	1
23	2
24	2
25	5
26	1
27	4
28	1
29	2
30	0
31	1
32	1
33	2
34	4
35	5
36	2
37	1
38	5
39	4
40	0
41	1
42	1
43	2
44	1
45	0
46	2
47	1
48	2
49	5
50	5
51	8
52	1
53	2
54	4
55	5
56	1
57	4
58	2
59	5
60	0
61	1
62	1
63	2
64	1
65	0
66	2
67	1
68	4
69	1
70	5
71	2
72	2
73	1
74	1
75	0
76	5
77	2
78	4
79	1
80	0
81	1
82	1
83	2
84	1

[0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 4, 2, 5, 0, 1, 1, 2, 2, 5, 1, 4, 1, 2, 0, 1, 1, 2, 4, 5, 2, 1, 5, 4, 0, 1, 1, 2, 1, 0, 2, 1, 2, 5, 5, 8, 1, 2, 4, 5, 1, 4, 2, 5, 0, 1, 1, 2, 1, 0, 2, 1, 4, 1, 5, 2, 2, 1, 1, 0, 5, 2, 4, 1, 0, 1, 1, 2, 1]

cp's OEIS Frontend

A330714 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^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	1
3	2
4	1
5	0
6	2
7	1
8	1
9	2
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	4
18	2
19	5
20	0
21	1
22	1
23	2
24	2
25	5
26	1
27	4
28	1
29	2
30	0
31	1
32	1
33	2
34	4
35	5
36	2
37	1
38	5
39	4
40	0
41	1
42	1
43	2
44	1
45	0
46	2
47	1
48	2
49	5
50	5
51	8
52	1
53	2
54	4
55	5
56	1
57	4
58	2
59	5
60	0
61	1
62	1
63	2
64	1
65	0
66	2
67	1
68	4
69	1
70	5
71	2
72	2
73	1
74	1
75	0
76	5
77	2
78	4
79	1
80	0
81	1
82	1
83	2
84	1

n	a(n)
0	0
1	1
2	1
3	2
4	1
5	0
6	2
7	1
8	1
9	2
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	4
18	2
19	5
20	0
21	1
22	1
23	2
24	2
25	5
26	1
27	4
28	1
29	2
30	0
31	1
32	1
33	2
34	4
35	5
36	2
37	1
38	5
39	4
40	0
41	1
42	1
43	2
44	1
45	0
46	2
47	1
48	2
49	5
50	5
51	8
52	1
53	2
54	4
55	5
56	1
57	4
58	2
59	5
60	0
61	1
62	1
63	2
64	1
65	0
66	2
67	1
68	4
69	1
70	5
71	2
72	2
73	1
74	1
75	0
76	5
77	2
78	4
79	1
80	0
81	1
82	1
83	2
84	1

n	a(n)
0	0
1	1
2	1
3	2
4	1
5	0
6	2
7	1
8	1
9	2
10	0
11	1
12	2
13	1
14	1
15	0
16	1
17	4
18	2
19	5
20	0
21	1
22	1
23	2
24	2
25	5
26	1
27	4
28	1
29	2
30	0
31	1
32	1
33	2
34	4
35	5
36	2
37	1
38	5
39	4
40	0
41	1
42	1
43	2
44	1
45	0
46	2
47	1
48	2
49	5
50	5
51	8
52	1
53	2
54	4
55	5
56	1
57	4
58	2
59	5
60	0
61	1
62	1
63	2
64	1
65	0
66	2
67	1
68	4
69	1
70	5
71	2
72	2
73	1
74	1
75	0
76	5
77	2
78	4
79	1
80	0
81	1
82	1
83	2
84	1