A194331 - cp's OEIS frontend

A194331 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n, r=2-sqrt(3).

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

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

cp's OEIS Frontend

A194331 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n, r=2-sqrt(3).

Table of values

List of values

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

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

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