A320044 - cp's OEIS frontend

A320044 Number of positive integers k < prime(n)/2 with {k^3/prime(n)} > 1/2, where {x} = x - floor(x) is the fractional part of a real number x.

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	4
7	3
8	2
9	4
10	7
11	9
12	10
13	7
14	9
15	12
16	15
17	12
18	14
19	15
20	18
21	19
22	25
23	18
24	19
25	20
26	23
27	28
28	22
29	30
30	27
31	34
32	30
33	33
34	37
35	39
36	35
37	40
38	38
39	36
40	51
41	38
42	42
43	50
44	50
45	49
46	53
47	44
48	57
49	62
50	59
51	55
52	54
53	49
54	62
55	65
56	62
57	69
58	59
59	65
60	67
61	77
62	69
63	71
64	80
65	80
66	69
67	76
68	78
69	88
70	87
71	87
72	94
73	87
74	87
75	99
76	96
77	87
78	97
79	97
80	94

[0, 0, 1, 1, 2, 4, 3, 2, 4, 7, 9, 10, 7, 9, 12, 15, 12, 14, 15, 18, 19, 25, 18, 19, 20, 23, 28, 22, 30, 27, 34, 30, 33, 37, 39, 35, 40, 38, 36, 51, 38, 42, 50, 50, 49, 53, 44, 57, 62, 59, 55, 54, 49, 62, 65, 62, 69, 59, 65, 67, 77, 69, 71, 80, 80, 69, 76, 78, 88, 87, 87, 94, 87, 87, 99, 96, 87, 97, 97, 94]

cp's OEIS Frontend

A320044 Number of positive integers k < prime(n)/2 with {k^3/prime(n)} > 1/2, where {x} = x - floor(x) is the fractional part of a real number x.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	4
7	3
8	2
9	4
10	7
11	9
12	10
13	7
14	9
15	12
16	15
17	12
18	14
19	15
20	18
21	19
22	25
23	18
24	19
25	20
26	23
27	28
28	22
29	30
30	27
31	34
32	30
33	33
34	37
35	39
36	35
37	40
38	38
39	36
40	51
41	38
42	42
43	50
44	50
45	49
46	53
47	44
48	57
49	62
50	59
51	55
52	54
53	49
54	62
55	65
56	62
57	69
58	59
59	65
60	67
61	77
62	69
63	71
64	80
65	80
66	69
67	76
68	78
69	88
70	87
71	87
72	94
73	87
74	87
75	99
76	96
77	87
78	97
79	97
80	94

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	4
7	3
8	2
9	4
10	7
11	9
12	10
13	7
14	9
15	12
16	15
17	12
18	14
19	15
20	18
21	19
22	25
23	18
24	19
25	20
26	23
27	28
28	22
29	30
30	27
31	34
32	30
33	33
34	37
35	39
36	35
37	40
38	38
39	36
40	51
41	38
42	42
43	50
44	50
45	49
46	53
47	44
48	57
49	62
50	59
51	55
52	54
53	49
54	62
55	65
56	62
57	69
58	59
59	65
60	67
61	77
62	69
63	71
64	80
65	80
66	69
67	76
68	78
69	88
70	87
71	87
72	94
73	87
74	87
75	99
76	96
77	87
78	97
79	97
80	94

n	a(n)
1	0
2	0
3	1
4	1
5	2
6	4
7	3
8	2
9	4
10	7
11	9
12	10
13	7
14	9
15	12
16	15
17	12
18	14
19	15
20	18
21	19
22	25
23	18
24	19
25	20
26	23
27	28
28	22
29	30
30	27
31	34
32	30
33	33
34	37
35	39
36	35
37	40
38	38
39	36
40	51
41	38
42	42
43	50
44	50
45	49
46	53
47	44
48	57
49	62
50	59
51	55
52	54
53	49
54	62
55	65
56	62
57	69
58	59
59	65
60	67
61	77
62	69
63	71
64	80
65	80
66	69
67	76
68	78
69	88
70	87
71	87
72	94
73	87
74	87
75	99
76	96
77	87
78	97
79	97
80	94