A194295 - cp's OEIS frontend

A194295 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=n^2, r=(1+sqrt(5))/2, the golden ratio.

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

[1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 5, 5, 6, 7, 5, 7, 6, 5, 7, 8, 6, 7, 8, 7, 6, 8, 8, 8, 7, 9, 8, 8, 8, 9, 9, 9, 9, 9, 10, 8, 10, 8, 10, 10, 10, 10, 10, 10, 9, 11, 10, 10, 11, 11, 11, 11, 10, 11, 12, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13]

cp's OEIS Frontend

A194295 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n, 1<=k<=n^2, r=(1+sqrt(5))/2, the golden ratio.

Table of values

List of values

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

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

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