A194303 - cp's OEIS frontend

A194303 Triangular array: g(n,k)=number of fractional parts (i*sqrt(5)) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n.

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	3
7	4
8	4
9	4
10	4
11	5
12	4
13	6
14	5
15	5
16	6
17	7
18	7
19	6
20	5
21	5
22	7
23	7
24	7
25	8
26	7
27	6
28	7
29	8
30	9
31	7
32	9
33	7
34	9
35	7
36	8
37	8
38	10
39	9
40	9
41	9
42	9
43	9
44	9
45	9
46	9
47	11
48	9
49	10
50	12
51	9
52	10
53	10
54	10
55	10
56	10
57	12
58	11
59	11
60	11
61	11
62	12
63	11
64	10
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
82	14

[1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 4, 6, 5, 5, 6, 7, 7, 6, 5, 5, 7, 7, 7, 8, 7, 6, 7, 8, 9, 7, 9, 7, 9, 7, 8, 8, 10, 9, 9, 9, 9, 9, 9, 9, 9, 11, 9, 10, 12, 9, 10, 10, 10, 10, 10, 12, 11, 11, 11, 11, 12, 11, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14]

cp's OEIS Frontend

A194303 Triangular array: g(n,k)=number of fractional parts (i*sqrt(5)) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n.

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	5
12	4
13	6
14	5
15	5
16	6
17	7
18	7
19	6
20	5
21	5
22	7
23	7
24	7
25	8
26	7
27	6
28	7
29	8
30	9
31	7
32	9
33	7
34	9
35	7
36	8
37	8
38	10
39	9
40	9
41	9
42	9
43	9
44	9
45	9
46	9
47	11
48	9
49	10
50	12
51	9
52	10
53	10
54	10
55	10
56	10
57	12
58	11
59	11
60	11
61	11
62	12
63	11
64	10
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
82	14

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	3
7	4
8	4
9	4
10	4
11	5
12	4
13	6
14	5
15	5
16	6
17	7
18	7
19	6
20	5
21	5
22	7
23	7
24	7
25	8
26	7
27	6
28	7
29	8
30	9
31	7
32	9
33	7
34	9
35	7
36	8
37	8
38	10
39	9
40	9
41	9
42	9
43	9
44	9
45	9
46	9
47	11
48	9
49	10
50	12
51	9
52	10
53	10
54	10
55	10
56	10
57	12
58	11
59	11
60	11
61	11
62	12
63	11
64	10
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
82	14

n	a(n)
1	1
2	2
3	2
4	3
5	3
6	3
7	4
8	4
9	4
10	4
11	5
12	4
13	6
14	5
15	5
16	6
17	7
18	7
19	6
20	5
21	5
22	7
23	7
24	7
25	8
26	7
27	6
28	7
29	8
30	9
31	7
32	9
33	7
34	9
35	7
36	8
37	8
38	10
39	9
40	9
41	9
42	9
43	9
44	9
45	9
46	9
47	11
48	9
49	10
50	12
51	9
52	10
53	10
54	10
55	10
56	10
57	12
58	11
59	11
60	11
61	11
62	12
63	11
64	10
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
82	14