A303548 - cp's OEIS frontend

A303548 For any n > 0 and h > 0, let d_h(n) be the distance from n to the nearest number with Hamming weight at most h; a(n) = Sum_{i > 0} d_i(n).

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

[0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 4, 4, 4, 4, 3, 0, 1, 2, 4, 4, 6, 8, 9, 8, 8, 8, 9, 8, 7, 6, 4, 0, 1, 2, 4, 4, 6, 8, 9, 8, 10, 12, 15, 16, 17, 18, 18, 16, 16, 16, 17, 16, 17, 18, 18, 16, 15, 14, 14, 12, 10, 8, 5, 0, 1, 2, 4, 4, 6, 8, 9, 8, 10, 12, 15, 16, 17, 18]

cp's OEIS Frontend

A303548 For any n > 0 and h > 0, let d_h(n) be the distance from n to the nearest number with Hamming weight at most h; a(n) = Sum_{i > 0} d_i(n).

Table of values

List of values

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

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

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