A194816 - cp's OEIS frontend

A194816 Number of integers k in [1,n] such that {nr+kr} > {nr-kr}, where { } = fractional part and r=sqrt(2).

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

[1, 1, 1, 2, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 7, 8, 9, 9, 9, 10, 11, 12, 12, 12, 12, 13, 14, 15, 16, 16, 16, 17, 18, 19, 19, 19, 19, 20, 21, 21, 21, 21, 21, 22, 23, 24, 24, 24, 24, 25, 26, 26, 26, 26, 27, 28, 29, 30, 30, 30, 31, 32, 33, 33, 33, 33, 34, 35, 35, 35, 35, 35]

cp's OEIS Frontend

A194816 Number of integers k in [1,n] such that {nr+kr} > {nr-kr}, where { } = fractional part and r=sqrt(2).

Table of values

List of values

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

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

cp's OEIS Frontend

A194816 Number of integers k in [1,n] such that {n*r+k*r} > {n*r-k*r}, where { } = fractional part and r=sqrt(2).

Table of values

List of values

A194816 Number of integers k in [1,n] such that {nr+kr} > {nr-kr}, where { } = fractional part and r=sqrt(2).

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