A194296 - cp's OEIS frontend

A194296 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=2^n, r=(1+sqrt(5))/2, the golden ratio.

n	a(n)
1	2
2	2
3	2
4	3
5	2
6	3
7	4
8	4
9	4
10	4
11	6
12	6
13	7
14	7
15	6
16	10
17	11
18	10
19	12
20	10
21	11
22	19
23	19
24	17
25	19
26	19
27	17
28	18
29	32
30	33
31	32
32	31
33	33
34	32
35	31
36	32
37	57
38	57
39	57
40	56
41	57
42	58
43	56
44	58
45	56
46	102
47	102
48	103
49	102
50	102
51	103
52	102
53	103
54	103
55	102
56	187
57	186
58	187
59	185
60	185
61	186
62	187
63	187
64	186
65	187

[2, 2, 2, 3, 2, 3, 4, 4, 4, 4, 6, 6, 7, 7, 6, 10, 11, 10, 12, 10, 11, 19, 19, 17, 19, 19, 17, 18, 32, 33, 32, 31, 33, 32, 31, 32, 57, 57, 57, 56, 57, 58, 56, 58, 56, 102, 102, 103, 102, 102, 103, 102, 103, 103, 102, 187, 186, 187, 185, 185, 186, 187, 187, 186, 187]

cp's OEIS Frontend

A194296 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=2^n, r=(1+sqrt(5))/2, the golden ratio.

Table of values

List of values

n	a(n)
1	2
2	2
3	2
4	3
5	2
6	3
7	4
8	4
9	4
10	4
11	6
12	6
13	7
14	7
15	6
16	10
17	11
18	10
19	12
20	10
21	11
22	19
23	19
24	17
25	19
26	19
27	17
28	18
29	32
30	33
31	32
32	31
33	33
34	32
35	31
36	32
37	57
38	57
39	57
40	56
41	57
42	58
43	56
44	58
45	56
46	102
47	102
48	103
49	102
50	102
51	103
52	102
53	103
54	103
55	102
56	187
57	186
58	187
59	185
60	185
61	186
62	187
63	187
64	186
65	187

n	a(n)
1	2
2	2
3	2
4	3
5	2
6	3
7	4
8	4
9	4
10	4
11	6
12	6
13	7
14	7
15	6
16	10
17	11
18	10
19	12
20	10
21	11
22	19
23	19
24	17
25	19
26	19
27	17
28	18
29	32
30	33
31	32
32	31
33	33
34	32
35	31
36	32
37	57
38	57
39	57
40	56
41	57
42	58
43	56
44	58
45	56
46	102
47	102
48	103
49	102
50	102
51	103
52	102
53	103
54	103
55	102
56	187
57	186
58	187
59	185
60	185
61	186
62	187
63	187
64	186
65	187

n	a(n)
1	2
2	2
3	2
4	3
5	2
6	3
7	4
8	4
9	4
10	4
11	6
12	6
13	7
14	7
15	6
16	10
17	11
18	10
19	12
20	10
21	11
22	19
23	19
24	17
25	19
26	19
27	17
28	18
29	32
30	33
31	32
32	31
33	33
34	32
35	31
36	32
37	57
38	57
39	57
40	56
41	57
42	58
43	56
44	58
45	56
46	102
47	102
48	103
49	102
50	102
51	103
52	102
53	103
54	103
55	102
56	187
57	186
58	187
59	185
60	185
61	186
62	187
63	187
64	186
65	187