A194336 - cp's OEIS frontend

A194336 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n, r=2-tau, where tau=(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	7
13	7
14	6
15	6
16	11
17	10
18	12
19	10
20	11
21	10
22	18
23	17
24	19
25	19
26	17
27	19
28	19
29	32
30	31
31	32
32	33
33	31
34	32
35	33
36	32
37	56
38	58
39	56
40	58
41	57
42	56
43	57
44	57
45	57
46	102
47	103
48	103
49	102
50	103
51	102
52	102
53	103
54	102
55	102
56	185
57	187
58	186
59	187
60	187
61	186
62	185
63	185
64	187
65	186

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

cp's OEIS Frontend

A194336 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n, r=2-tau, where tau=(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	7
13	7
14	6
15	6
16	11
17	10
18	12
19	10
20	11
21	10
22	18
23	17
24	19
25	19
26	17
27	19
28	19
29	32
30	31
31	32
32	33
33	31
34	32
35	33
36	32
37	56
38	58
39	56
40	58
41	57
42	56
43	57
44	57
45	57
46	102
47	103
48	103
49	102
50	103
51	102
52	102
53	103
54	102
55	102
56	185
57	187
58	186
59	187
60	187
61	186
62	185
63	185
64	187
65	186

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

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