A194813 - cp's OEIS frontend

A194813 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	0
2	0
3	1
4	2
5	2
6	2
7	3
8	4
9	5
10	5
11	5
12	6
13	6
14	6
15	6
16	7
17	8
18	8
19	8
20	9
21	10
22	11
23	11
24	12
25	13
26	13
27	13
28	13
29	14
30	15
31	15
32	15
33	16
34	16
35	16
36	16
37	17
38	18
39	18
40	18
41	19
42	20
43	21
44	21
45	22
46	23
47	23
48	23
49	23
50	24
51	25
52	25
53	25
54	26
55	27
56	28
57	28
58	29
59	30
60	30
61	30
62	31
63	32
64	33
65	33
66	33
67	34
68	34
69	34
70	34
71	35
72	36
73	36

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

cp's OEIS Frontend

A194813 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	0
2	0
3	1
4	2
5	2
6	2
7	3
8	4
9	5
10	5
11	5
12	6
13	6
14	6
15	6
16	7
17	8
18	8
19	8
20	9
21	10
22	11
23	11
24	12
25	13
26	13
27	13
28	13
29	14
30	15
31	15
32	15
33	16
34	16
35	16
36	16
37	17
38	18
39	18
40	18
41	19
42	20
43	21
44	21
45	22
46	23
47	23
48	23
49	23
50	24
51	25
52	25
53	25
54	26
55	27
56	28
57	28
58	29
59	30
60	30
61	30
62	31
63	32
64	33
65	33
66	33
67	34
68	34
69	34
70	34
71	35
72	36
73	36

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

cp's OEIS Frontend

A194813 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

A194813 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	0
2	0
3	1
4	2
5	2
6	2
7	3
8	4
9	5
10	5
11	5
12	6
13	6
14	6
15	6
16	7
17	8
18	8
19	8
20	9
21	10
22	11
23	11
24	12
25	13
26	13
27	13
28	13
29	14
30	15
31	15
32	15
33	16
34	16
35	16
36	16
37	17
38	18
39	18
40	18
41	19
42	20
43	21
44	21
45	22
46	23
47	23
48	23
49	23
50	24
51	25
52	25
53	25
54	26
55	27
56	28
57	28
58	29
59	30
60	30
61	30
62	31
63	32
64	33
65	33
66	33
67	34
68	34
69	34
70	34
71	35
72	36
73	36