A337319 - cp's OEIS frontend

A337319 a(n) = Sum_{i = 1..floor(log_2(n))+1} g(frac(n/2^i)), where g(t) = [0 if t = 0, -1 if 0 < t < 1/2, 1 if t >= 1/2], and where frac(x) denotes the fractional part.

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

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

cp's OEIS Frontend

A337319 a(n) = Sum_{i = 1..floor(log_2(n))+1} g(frac(n/2^i)), where g(t) = [0 if t = 0, -1 if 0 < t < 1/2, 1 if t >= 1/2], and where frac(x) denotes the fractional part.

Table of values

List of values

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

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

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