A036412 - cp's OEIS frontend

A036412 Number of empty intervals when fractional_part(i*e) 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	1
6	0
7	0
8	1
9	1
10	3
11	1
12	4
13	4
14	7
15	5
16	5
17	6
18	4
19	4
20	6
21	7
22	6
23	8
24	5
25	2
26	6
27	4
28	5
29	3
30	4
31	3
32	0
33	3
34	2
35	0
36	3
37	3
38	3
39	0
40	4
41	4
42	5
43	6
44	5
45	6
46	7
47	8
48	8
49	8
50	9
51	8
52	8
53	7
54	8
55	8
56	8
57	9
58	8
59	8
60	7
61	6
62	7
63	6
64	1
65	5
66	4
67	4
68	3
69	2
70	2
71	0
72	5
73	4
74	3
75	5
76	5
77	6
78	2
79	8
80	9
81	9
82	10
83	11
84	9
85	11
86	13
87	16
88	14
89	16
90	16
91	17
92	17
93	18
94	18
95	20

[0, 0, 0, 0, 1, 0, 0, 1, 1, 3, 1, 4, 4, 7, 5, 5, 6, 4, 4, 6, 7, 6, 8, 5, 2, 6, 4, 5, 3, 4, 3, 0, 3, 2, 0, 3, 3, 3, 0, 4, 4, 5, 6, 5, 6, 7, 8, 8, 8, 9, 8, 8, 7, 8, 8, 8, 9, 8, 8, 7, 6, 7, 6, 1, 5, 4, 4, 3, 2, 2, 0, 5, 4, 3, 5, 5, 6, 2, 8, 9, 9, 10, 11, 9, 11, 13, 16, 14, 16, 16, 17, 17, 18, 18, 20]

cp's OEIS Frontend

A036412 Number of empty intervals when fractional_part(i*e) 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	1
6	0
7	0
8	1
9	1
10	3
11	1
12	4
13	4
14	7
15	5
16	5
17	6
18	4
19	4
20	6
21	7
22	6
23	8
24	5
25	2
26	6
27	4
28	5
29	3
30	4
31	3
32	0
33	3
34	2
35	0
36	3
37	3
38	3
39	0
40	4
41	4
42	5
43	6
44	5
45	6
46	7
47	8
48	8
49	8
50	9
51	8
52	8
53	7
54	8
55	8
56	8
57	9
58	8
59	8
60	7
61	6
62	7
63	6
64	1
65	5
66	4
67	4
68	3
69	2
70	2
71	0
72	5
73	4
74	3
75	5
76	5
77	6
78	2
79	8
80	9
81	9
82	10
83	11
84	9
85	11
86	13
87	16
88	14
89	16
90	16
91	17
92	17
93	18
94	18
95	20

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

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