A194288 - cp's OEIS frontend

A194288 Triangular array: g(n,k)=number of fractional parts (i*sqrt(2)) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n.

n	a(n)
1	2
2	2
3	2
4	3
5	3
6	2
7	4
8	4
9	4
10	4
11	6
12	7
13	7
14	6
15	6
16	11
17	11
18	11
19	10
20	11
21	10
22	19
23	18
24	19
25	18
26	18
27	18
28	18
29	32
30	33
31	31
32	33
33	31
34	32
35	32
36	32
37	57
38	56
39	58
40	57
41	57
42	57
43	56
44	57
45	57
46	103
47	102
48	103
49	102
50	104
51	101
52	103
53	102
54	103
55	101
56	187
57	184
58	187
59	186
60	187
61	187
62	185
63	186
64	186
65	188

[2, 2, 2, 3, 3, 2, 4, 4, 4, 4, 6, 7, 7, 6, 6, 11, 11, 11, 10, 11, 10, 19, 18, 19, 18, 18, 18, 18, 32, 33, 31, 33, 31, 32, 32, 32, 57, 56, 58, 57, 57, 57, 56, 57, 57, 103, 102, 103, 102, 104, 101, 103, 102, 103, 101, 187, 184, 187, 186, 187, 187, 185, 186, 186, 188]

cp's OEIS Frontend

A194288 Triangular array: g(n,k)=number of fractional parts (i*sqrt(2)) in interval [(k-1)/n, k/n], for 1<=i<=2^n, 1<=k<=n.

Table of values

List of values

n	a(n)
1	2
2	2
3	2
4	3
5	3
6	2
7	4
8	4
9	4
10	4
11	6
12	7
13	7
14	6
15	6
16	11
17	11
18	11
19	10
20	11
21	10
22	19
23	18
24	19
25	18
26	18
27	18
28	18
29	32
30	33
31	31
32	33
33	31
34	32
35	32
36	32
37	57
38	56
39	58
40	57
41	57
42	57
43	56
44	57
45	57
46	103
47	102
48	103
49	102
50	104
51	101
52	103
53	102
54	103
55	101
56	187
57	184
58	187
59	186
60	187
61	187
62	185
63	186
64	186
65	188

n	a(n)
1	2
2	2
3	2
4	3
5	3
6	2
7	4
8	4
9	4
10	4
11	6
12	7
13	7
14	6
15	6
16	11
17	11
18	11
19	10
20	11
21	10
22	19
23	18
24	19
25	18
26	18
27	18
28	18
29	32
30	33
31	31
32	33
33	31
34	32
35	32
36	32
37	57
38	56
39	58
40	57
41	57
42	57
43	56
44	57
45	57
46	103
47	102
48	103
49	102
50	104
51	101
52	103
53	102
54	103
55	101
56	187
57	184
58	187
59	186
60	187
61	187
62	185
63	186
64	186
65	188

n	a(n)
1	2
2	2
3	2
4	3
5	3
6	2
7	4
8	4
9	4
10	4
11	6
12	7
13	7
14	6
15	6
16	11
17	11
18	11
19	10
20	11
21	10
22	19
23	18
24	19
25	18
26	18
27	18
28	18
29	32
30	33
31	31
32	33
33	31
34	32
35	32
36	32
37	57
38	56
39	58
40	57
41	57
42	57
43	56
44	57
45	57
46	103
47	102
48	103
49	102
50	104
51	101
52	103
53	102
54	103
55	101
56	187
57	184
58	187
59	186
60	187
61	187
62	185
63	186
64	186
65	188