A194291 - cp's OEIS frontend

A194291 Triangular array: g(n,k)=number of fractional parts (i*sqrt(3)) 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	2
5	4
6	3
7	4
8	3
9	5
10	4
11	5
12	5
13	5
14	5
15	5
16	5
17	6
18	7
19	6
20	5
21	7
22	7
23	7
24	7
25	7
26	7
27	7
28	7
29	8
30	8
31	7
32	9
33	7
34	9
35	8
36	8
37	8
38	9
39	9
40	9
41	9
42	10
43	8
44	9
45	10
46	10
47	10
48	10
49	10
50	11
51	9
52	10
53	11
54	9
55	10
56	10
57	11
58	11
59	10
60	12
61	11
62	11
63	12
64	11
65	11
66	11
67	11
68	12
69	13
70	11
71	12
72	13
73	12
74	11
75	13
76	12
77	11
78	13
79	13
80	13
81	13

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

cp's OEIS Frontend

A194291 Triangular array: g(n,k)=number of fractional parts (i*sqrt(3)) 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	2
5	4
6	3
7	4
8	3
9	5
10	4
11	5
12	5
13	5
14	5
15	5
16	5
17	6
18	7
19	6
20	5
21	7
22	7
23	7
24	7
25	7
26	7
27	7
28	7
29	8
30	8
31	7
32	9
33	7
34	9
35	8
36	8
37	8
38	9
39	9
40	9
41	9
42	10
43	8
44	9
45	10
46	10
47	10
48	10
49	10
50	11
51	9
52	10
53	11
54	9
55	10
56	10
57	11
58	11
59	10
60	12
61	11
62	11
63	12
64	11
65	11
66	11
67	11
68	12
69	13
70	11
71	12
72	13
73	12
74	11
75	13
76	12
77	11
78	13
79	13
80	13
81	13

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

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