A036414 - cp's OEIS frontend

A036414 Number of empty intervals when fractional_part(i*phi) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	0
9	2
10	0
11	1
12	1
13	0
14	2
15	2
16	0
17	2
18	3
19	1
20	2
21	0
22	3
23	2
24	4
25	3
26	1
27	3
28	3
29	4
30	3
31	2
32	4
33	5
34	0
35	4
36	5
37	4
38	8
39	6
40	6
41	5
42	2
43	5
44	5
45	5
46	5
47	8
48	5
49	5
50	4
51	8
52	6
53	6
54	5
55	0
56	6
57	7
58	8
59	7
60	6
61	8
62	8
63	11
64	9
65	8
66	10
67	9
68	4
69	9
70	9
71	9
72	8
73	8
74	9
75	8
76	12
77	8
78	8
79	10
80	9
81	6
82	9
83	8
84	11
85	10
86	8
87	10
88	10
89	0
90	10
91	11
92	9
93	12
94	12
95	14

[0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 3, 1, 2, 0, 3, 2, 4, 3, 1, 3, 3, 4, 3, 2, 4, 5, 0, 4, 5, 4, 8, 6, 6, 5, 2, 5, 5, 5, 5, 8, 5, 5, 4, 8, 6, 6, 5, 0, 6, 7, 8, 7, 6, 8, 8, 11, 9, 8, 10, 9, 4, 9, 9, 9, 8, 8, 9, 8, 12, 8, 8, 10, 9, 6, 9, 8, 11, 10, 8, 10, 10, 0, 10, 11, 9, 12, 12, 14]

cp's OEIS Frontend

A036414 Number of empty intervals when fractional_part(i*phi) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	0
9	2
10	0
11	1
12	1
13	0
14	2
15	2
16	0
17	2
18	3
19	1
20	2
21	0
22	3
23	2
24	4
25	3
26	1
27	3
28	3
29	4
30	3
31	2
32	4
33	5
34	0
35	4
36	5
37	4
38	8
39	6
40	6
41	5
42	2
43	5
44	5
45	5
46	5
47	8
48	5
49	5
50	4
51	8
52	6
53	6
54	5
55	0
56	6
57	7
58	8
59	7
60	6
61	8
62	8
63	11
64	9
65	8
66	10
67	9
68	4
69	9
70	9
71	9
72	8
73	8
74	9
75	8
76	12
77	8
78	8
79	10
80	9
81	6
82	9
83	8
84	11
85	10
86	8
87	10
88	10
89	0
90	10
91	11
92	9
93	12
94	12
95	14

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	0
9	2
10	0
11	1
12	1
13	0
14	2
15	2
16	0
17	2
18	3
19	1
20	2
21	0
22	3
23	2
24	4
25	3
26	1
27	3
28	3
29	4
30	3
31	2
32	4
33	5
34	0
35	4
36	5
37	4
38	8
39	6
40	6
41	5
42	2
43	5
44	5
45	5
46	5
47	8
48	5
49	5
50	4
51	8
52	6
53	6
54	5
55	0
56	6
57	7
58	8
59	7
60	6
61	8
62	8
63	11
64	9
65	8
66	10
67	9
68	4
69	9
70	9
71	9
72	8
73	8
74	9
75	8
76	12
77	8
78	8
79	10
80	9
81	6
82	9
83	8
84	11
85	10
86	8
87	10
88	10
89	0
90	10
91	11
92	9
93	12
94	12
95	14

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	1
8	0
9	2
10	0
11	1
12	1
13	0
14	2
15	2
16	0
17	2
18	3
19	1
20	2
21	0
22	3
23	2
24	4
25	3
26	1
27	3
28	3
29	4
30	3
31	2
32	4
33	5
34	0
35	4
36	5
37	4
38	8
39	6
40	6
41	5
42	2
43	5
44	5
45	5
46	5
47	8
48	5
49	5
50	4
51	8
52	6
53	6
54	5
55	0
56	6
57	7
58	8
59	7
60	6
61	8
62	8
63	11
64	9
65	8
66	10
67	9
68	4
69	9
70	9
71	9
72	8
73	8
74	9
75	8
76	12
77	8
78	8
79	10
80	9
81	6
82	9
83	8
84	11
85	10
86	8
87	10
88	10
89	0
90	10
91	11
92	9
93	12
94	12
95	14