A102722 - cp's OEIS frontend

A102722 Given n, sum all division remainders {n/k}, with k=1,...,n. The value a(n) is given by the floor of that sum. Note that {x}:=x-[x].

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

[0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 4, 2, 4, 4, 4, 4, 6, 4, 7, 5, 6, 7, 9, 6, 8, 9, 10, 8, 11, 8, 11, 10, 11, 13, 14, 10, 13, 14, 15, 13, 16, 13, 17, 16, 15, 17, 20, 16, 18, 17, 19, 18, 22, 20, 21, 19, 20, 22, 26, 19, 23, 25, 24, 23, 25, 23, 26, 26, 28, 26, 30, 23, 27, 29, 29, 29, 31, 29, 33]

cp's OEIS Frontend

A102722 Given n, sum all division remainders {n/k}, with k=1,...,n. The value a(n) is given by the floor of that sum. Note that {x}:=x-[x].

Table of values

List of values

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

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

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