A194733 - cp's OEIS frontend

A194733 Number of k < n such that {kr} > {nr}, where { } = fractional part, r = (1+sqrt(5))/2 (the golden ratio).

n	a(n)
1	0
2	1
3	0
4	2
5	4
6	1
7	4
8	0
9	4
10	8
11	2
12	7
13	12
14	4
15	10
16	1
17	8
18	15
19	4
20	12
21	0
22	9
23	18
24	4
25	14
26	24
27	8
28	19
29	2
30	14
31	26
32	7
33	20
34	33
35	12
36	26
37	4
38	19
39	34
40	10
41	26
42	1
43	18
44	35
45	8
46	26
47	44
48	15
49	34
50	4
51	24
52	44
53	12
54	33
55	0
56	22
57	44
58	9
59	32
60	55
61	18
62	42
63	4
64	29
65	54
66	14
67	40
68	66
69	24
70	51
71	8
72	36
73	64
74	19
75	48
76	2
77	32

[0, 1, 0, 2, 4, 1, 4, 0, 4, 8, 2, 7, 12, 4, 10, 1, 8, 15, 4, 12, 0, 9, 18, 4, 14, 24, 8, 19, 2, 14, 26, 7, 20, 33, 12, 26, 4, 19, 34, 10, 26, 1, 18, 35, 8, 26, 44, 15, 34, 4, 24, 44, 12, 33, 0, 22, 44, 9, 32, 55, 18, 42, 4, 29, 54, 14, 40, 66, 24, 51, 8, 36, 64, 19, 48, 2, 32]

cp's OEIS Frontend

A194733 Number of k < n such that {kr} > {nr}, where { } = fractional part, r = (1+sqrt(5))/2 (the golden ratio).

Table of values

List of values

n	a(n)
1	0
2	1
3	0
4	2
5	4
6	1
7	4
8	0
9	4
10	8
11	2
12	7
13	12
14	4
15	10
16	1
17	8
18	15
19	4
20	12
21	0
22	9
23	18
24	4
25	14
26	24
27	8
28	19
29	2
30	14
31	26
32	7
33	20
34	33
35	12
36	26
37	4
38	19
39	34
40	10
41	26
42	1
43	18
44	35
45	8
46	26
47	44
48	15
49	34
50	4
51	24
52	44
53	12
54	33
55	0
56	22
57	44
58	9
59	32
60	55
61	18
62	42
63	4
64	29
65	54
66	14
67	40
68	66
69	24
70	51
71	8
72	36
73	64
74	19
75	48
76	2
77	32

n	a(n)
1	0
2	1
3	0
4	2
5	4
6	1
7	4
8	0
9	4
10	8
11	2
12	7
13	12
14	4
15	10
16	1
17	8
18	15
19	4
20	12
21	0
22	9
23	18
24	4
25	14
26	24
27	8
28	19
29	2
30	14
31	26
32	7
33	20
34	33
35	12
36	26
37	4
38	19
39	34
40	10
41	26
42	1
43	18
44	35
45	8
46	26
47	44
48	15
49	34
50	4
51	24
52	44
53	12
54	33
55	0
56	22
57	44
58	9
59	32
60	55
61	18
62	42
63	4
64	29
65	54
66	14
67	40
68	66
69	24
70	51
71	8
72	36
73	64
74	19
75	48
76	2
77	32

cp's OEIS Frontend

A194733 Number of k < n such that {k*r} > {n*r}, where { } = fractional part, r = (1+sqrt(5))/2 (the golden ratio).

Table of values

List of values

A194733 Number of k < n such that {kr} > {nr}, where { } = fractional part, r = (1+sqrt(5))/2 (the golden ratio).

n	a(n)
1	0
2	1
3	0
4	2
5	4
6	1
7	4
8	0
9	4
10	8
11	2
12	7
13	12
14	4
15	10
16	1
17	8
18	15
19	4
20	12
21	0
22	9
23	18
24	4
25	14
26	24
27	8
28	19
29	2
30	14
31	26
32	7
33	20
34	33
35	12
36	26
37	4
38	19
39	34
40	10
41	26
42	1
43	18
44	35
45	8
46	26
47	44
48	15
49	34
50	4
51	24
52	44
53	12
54	33
55	0
56	22
57	44
58	9
59	32
60	55
61	18
62	42
63	4
64	29
65	54
66	14
67	40
68	66
69	24
70	51
71	8
72	36
73	64
74	19
75	48
76	2
77	32