A194814 - cp's OEIS frontend

A194814 Number of integers k in [1,n] such that {nr+kr} > {nr-kr}, where { } = fractional part and r=(1+sqrt(5))/2 (the golden ratio).

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

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

cp's OEIS Frontend

A194814 Number of integers k in [1,n] such that {nr+kr} > {nr-kr}, where { } = fractional part and r=(1+sqrt(5))/2 (the golden ratio).

Table of values

List of values

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

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

cp's OEIS Frontend

A194814 Number of integers k in [1,n] such that {n*r+k*r} > {n*r-k*r}, where { } = fractional part and r=(1+sqrt(5))/2 (the golden ratio).

Table of values

List of values

A194814 Number of integers k in [1,n] such that {nr+kr} > {nr-kr}, where { } = fractional part and r=(1+sqrt(5))/2 (the golden ratio).

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