A176314 - cp's OEIS frontend

A176314 Sum of remainders of mod(n, k), for 1 <= k <= sqrt(n).

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	1
11	3
12	0
13	2
14	2
15	1
16	1
17	4
18	2
19	5
20	2
21	2
22	3
23	6
24	0
25	3
26	5
27	6
28	4
29	8
30	2
31	6
32	4
33	5
34	7
35	6
36	1
37	6
38	9
39	11
40	5
41	10
42	4
43	9
44	8
45	5
46	8
47	13
48	3
49	8
50	7
51	10
52	10
53	16
54	11
55	12
56	5
57	8
58	12
59	18
60	4
61	10
62	14
63	10
64	10
65	12
66	8
67	15
68	16
69	20
70	13
71	20
72	4
73	11
74	16
75	15
76	16
77	16
78	12
79	19
80	7
81	11
82	17
83	25
84	11
85	14
86	20
87	25

[0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 3, 0, 2, 2, 1, 1, 4, 2, 5, 2, 2, 3, 6, 0, 3, 5, 6, 4, 8, 2, 6, 4, 5, 7, 6, 1, 6, 9, 11, 5, 10, 4, 9, 8, 5, 8, 13, 3, 8, 7, 10, 10, 16, 11, 12, 5, 8, 12, 18, 4, 10, 14, 10, 10, 12, 8, 15, 16, 20, 13, 20, 4, 11, 16, 15, 16, 16, 12, 19, 7, 11, 17, 25, 11, 14, 20, 25]

cp's OEIS Frontend

A176314 Sum of remainders of mod(n, k), for 1 <= k <= sqrt(n).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	1
11	3
12	0
13	2
14	2
15	1
16	1
17	4
18	2
19	5
20	2
21	2
22	3
23	6
24	0
25	3
26	5
27	6
28	4
29	8
30	2
31	6
32	4
33	5
34	7
35	6
36	1
37	6
38	9
39	11
40	5
41	10
42	4
43	9
44	8
45	5
46	8
47	13
48	3
49	8
50	7
51	10
52	10
53	16
54	11
55	12
56	5
57	8
58	12
59	18
60	4
61	10
62	14
63	10
64	10
65	12
66	8
67	15
68	16
69	20
70	13
71	20
72	4
73	11
74	16
75	15
76	16
77	16
78	12
79	19
80	7
81	11
82	17
83	25
84	11
85	14
86	20
87	25

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	1
11	3
12	0
13	2
14	2
15	1
16	1
17	4
18	2
19	5
20	2
21	2
22	3
23	6
24	0
25	3
26	5
27	6
28	4
29	8
30	2
31	6
32	4
33	5
34	7
35	6
36	1
37	6
38	9
39	11
40	5
41	10
42	4
43	9
44	8
45	5
46	8
47	13
48	3
49	8
50	7
51	10
52	10
53	16
54	11
55	12
56	5
57	8
58	12
59	18
60	4
61	10
62	14
63	10
64	10
65	12
66	8
67	15
68	16
69	20
70	13
71	20
72	4
73	11
74	16
75	15
76	16
77	16
78	12
79	19
80	7
81	11
82	17
83	25
84	11
85	14
86	20
87	25

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	1
11	3
12	0
13	2
14	2
15	1
16	1
17	4
18	2
19	5
20	2
21	2
22	3
23	6
24	0
25	3
26	5
27	6
28	4
29	8
30	2
31	6
32	4
33	5
34	7
35	6
36	1
37	6
38	9
39	11
40	5
41	10
42	4
43	9
44	8
45	5
46	8
47	13
48	3
49	8
50	7
51	10
52	10
53	16
54	11
55	12
56	5
57	8
58	12
59	18
60	4
61	10
62	14
63	10
64	10
65	12
66	8
67	15
68	16
69	20
70	13
71	20
72	4
73	11
74	16
75	15
76	16
77	16
78	12
79	19
80	7
81	11
82	17
83	25
84	11
85	14
86	20
87	25