A075988 - cp's OEIS frontend

A075988 Number of integers k satisfying 1 <= k <= n and 0 < frac(n/k) < 1/2, where frac(n/k) is the fractional part of n/k; i.e., frac(n/k) = n/k - floor(n,k).

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

[0, 0, 0, 1, 1, 1, 3, 2, 3, 4, 4, 4, 7, 5, 5, 8, 9, 6, 10, 8, 10, 12, 10, 10, 14, 13, 13, 13, 15, 13, 19, 16, 16, 18, 16, 17, 24, 20, 18, 20, 23, 21, 25, 23, 23, 25, 25, 23, 30, 26, 28, 30, 28, 26, 30, 30, 34, 34, 32, 28, 37, 35, 31, 36, 37, 37, 41, 35, 37, 37, 41, 38, 46, 42, 40]

cp's OEIS Frontend

A075988 Number of integers k satisfying 1 <= k <= n and 0 < frac(n/k) < 1/2, where frac(n/k) is the fractional part of n/k; i.e., frac(n/k) = n/k - floor(n,k).

Table of values

List of values

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

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

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