A194287 - cp's OEIS frontend

A194287 Triangular array: g(n,k)=number of fractional parts (i*sqrt(2)) 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	4
12	6
13	5
14	5
15	5
16	6
17	6
18	7
19	5
20	6
21	6
22	7
23	7
24	8
25	7
26	6
27	7
28	7
29	9
30	7
31	8
32	9
33	7
34	9
35	8
36	7
37	8
38	9
39	10
40	9
41	9
42	9
43	9
44	9
45	9
46	10
47	10
48	10
49	10
50	11
51	10
52	10
53	10
54	10
55	9
56	11
57	11
58	11
59	11
60	11
61	11
62	11
63	11
64	11
65	12
66	10
67	12
68	12
69	12
70	12
71	12
72	12
73	12
74	12
75	12
76	12
77	12
78	12

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

cp's OEIS Frontend

A194287 Triangular array: g(n,k)=number of fractional parts (i*sqrt(2)) 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	4
12	6
13	5
14	5
15	5
16	6
17	6
18	7
19	5
20	6
21	6
22	7
23	7
24	8
25	7
26	6
27	7
28	7
29	9
30	7
31	8
32	9
33	7
34	9
35	8
36	7
37	8
38	9
39	10
40	9
41	9
42	9
43	9
44	9
45	9
46	10
47	10
48	10
49	10
50	11
51	10
52	10
53	10
54	10
55	9
56	11
57	11
58	11
59	11
60	11
61	11
62	11
63	11
64	11
65	12
66	10
67	12
68	12
69	12
70	12
71	12
72	12
73	12
74	12
75	12
76	12
77	12
78	12

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

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