A194817 - cp's OEIS frontend

A194817 Number of integers k in [1,n] such that {nr+kr} < {nr-kr}, where { } = fractional part and r=sqrt(3).

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

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

cp's OEIS Frontend

A194817 Number of integers k in [1,n] such that {nr+kr} < {nr-kr}, where { } = fractional part and r=sqrt(3).

Table of values

List of values

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

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

cp's OEIS Frontend

A194817 Number of integers k in [1,n] such that {n*r+k*r} < {n*r-k*r}, where { } = fractional part and r=sqrt(3).

Table of values

List of values

A194817 Number of integers k in [1,n] such that {nr+kr} < {nr-kr}, where { } = fractional part and r=sqrt(3).

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