A342724 - cp's OEIS frontend

A342724 a(n) = Sum_{primes p <= 2n} of g(frac(n/p)), 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	3
6	1
7	1
8	3
9	4
10	2
11	5
12	3
13	4
14	3
15	2
16	0
17	4
18	5
19	5
20	6
21	5
22	2
23	5
24	3
25	4
26	5
27	5
28	6
29	9
30	6
31	5
32	7
33	10
34	7
35	9
36	6
37	6
38	7
39	9
40	6
41	7
42	4
43	6
44	7
45	6
46	6
47	9
48	10
49	10
50	11
51	10
52	7
53	12
54	10
55	9
56	9
57	8
58	8
59	11
60	11
61	11
62	12
63	12
64	10
65	13
66	9
67	11
68	12
69	11
70	7
71	9
72	10
73	13
74	14
75	13
76	10
77	12
78	11
79	10

[1, 1, 2, 1, 3, 1, 1, 3, 4, 2, 5, 3, 4, 3, 2, 0, 4, 5, 5, 6, 5, 2, 5, 3, 4, 5, 5, 6, 9, 6, 5, 7, 10, 7, 9, 6, 6, 7, 9, 6, 7, 4, 6, 7, 6, 6, 9, 10, 10, 11, 10, 7, 12, 10, 9, 9, 8, 8, 11, 11, 11, 12, 12, 10, 13, 9, 11, 12, 11, 7, 9, 10, 13, 14, 13, 10, 12, 11, 10]

cp's OEIS Frontend

A342724 a(n) = Sum_{primes p <= 2n} of g(frac(n/p)), 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	3
6	1
7	1
8	3
9	4
10	2
11	5
12	3
13	4
14	3
15	2
16	0
17	4
18	5
19	5
20	6
21	5
22	2
23	5
24	3
25	4
26	5
27	5
28	6
29	9
30	6
31	5
32	7
33	10
34	7
35	9
36	6
37	6
38	7
39	9
40	6
41	7
42	4
43	6
44	7
45	6
46	6
47	9
48	10
49	10
50	11
51	10
52	7
53	12
54	10
55	9
56	9
57	8
58	8
59	11
60	11
61	11
62	12
63	12
64	10
65	13
66	9
67	11
68	12
69	11
70	7
71	9
72	10
73	13
74	14
75	13
76	10
77	12
78	11
79	10

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

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