A318682 - cp's OEIS frontend

A318682 a(n) is the number of odd values minus the number of even values of the integer log of all positive integers up to and including n.

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

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

cp's OEIS Frontend

A318682 a(n) is the number of odd values minus the number of even values of the integer log of all positive integers up to and including n.

Table of values

List of values

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

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

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