A194815 - cp's OEIS frontend

A194815 Number of integers k in [1,n] such that {nr+kr} < {nr-kr}, where { } = fractional part and r=sqrt(2).

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

[0, 1, 2, 2, 2, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 9, 9, 9, 10, 11, 11, 11, 11, 12, 13, 14, 14, 14, 14, 14, 15, 16, 16, 16, 16, 17, 18, 19, 19, 19, 20, 21, 22, 23, 23, 23, 23, 24, 25, 26, 26, 26, 27, 28, 29, 29, 29, 29, 29, 30, 31, 31, 31, 31, 32, 33, 34, 34, 34, 35, 36, 37]

cp's OEIS Frontend

A194815 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	0
2	1
3	2
4	2
5	2
6	2
7	3
8	4
9	5
10	5
11	5
12	6
13	7
14	8
15	9
16	9
17	9
18	9
19	10
20	11
21	11
22	11
23	11
24	12
25	13
26	14
27	14
28	14
29	14
30	14
31	15
32	16
33	16
34	16
35	16
36	17
37	18
38	19
39	19
40	19
41	20
42	21
43	22
44	23
45	23
46	23
47	23
48	24
49	25
50	26
51	26
52	26
53	27
54	28
55	29
56	29
57	29
58	29
59	29
60	30
61	31
62	31
63	31
64	31
65	32
66	33
67	34
68	34
69	34
70	35
71	36
72	37

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

cp's OEIS Frontend

A194815 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

A194815 Number of integers k in [1,n] such that {nr+kr} < {nr-kr}, where { } = fractional part and r=sqrt(2).

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