A194735 - cp's OEIS frontend

A194735 Number of positive integers k <= n such that {ksqrt(2)} > {nsqrt(2)}, where { } = fractional part.

n	a(n)
1	0
2	0
3	2
4	1
5	4
6	2
7	0
8	5
9	2
10	8
11	4
12	0
13	8
14	3
15	12
16	6
17	16
18	9
19	2
20	14
21	6
22	19
23	10
24	1
25	16
26	6
27	22
28	11
29	28
30	16
31	4
32	23
33	10
34	30
35	16
36	2
37	24
38	9
39	32
40	16
41	0
42	25
43	8
44	34
45	16
46	43
47	24
48	5
49	34
50	14
51	44
52	23
53	2
54	34
55	12
56	45
57	22
58	56
59	32
60	8
61	44
62	19
63	56
64	30
65	4
66	43
67	16
68	56
69	28
70	0
71	42
72	13
73	56
74	26
75	70
76	39

[0, 0, 2, 1, 4, 2, 0, 5, 2, 8, 4, 0, 8, 3, 12, 6, 16, 9, 2, 14, 6, 19, 10, 1, 16, 6, 22, 11, 28, 16, 4, 23, 10, 30, 16, 2, 24, 9, 32, 16, 0, 25, 8, 34, 16, 43, 24, 5, 34, 14, 44, 23, 2, 34, 12, 45, 22, 56, 32, 8, 44, 19, 56, 30, 4, 43, 16, 56, 28, 0, 42, 13, 56, 26, 70, 39]

cp's OEIS Frontend

A194735 Number of positive integers k <= n such that {ksqrt(2)} > {nsqrt(2)}, where { } = fractional part.

Table of values

List of values

n	a(n)
1	0
2	0
3	2
4	1
5	4
6	2
7	0
8	5
9	2
10	8
11	4
12	0
13	8
14	3
15	12
16	6
17	16
18	9
19	2
20	14
21	6
22	19
23	10
24	1
25	16
26	6
27	22
28	11
29	28
30	16
31	4
32	23
33	10
34	30
35	16
36	2
37	24
38	9
39	32
40	16
41	0
42	25
43	8
44	34
45	16
46	43
47	24
48	5
49	34
50	14
51	44
52	23
53	2
54	34
55	12
56	45
57	22
58	56
59	32
60	8
61	44
62	19
63	56
64	30
65	4
66	43
67	16
68	56
69	28
70	0
71	42
72	13
73	56
74	26
75	70
76	39

n	a(n)
1	0
2	0
3	2
4	1
5	4
6	2
7	0
8	5
9	2
10	8
11	4
12	0
13	8
14	3
15	12
16	6
17	16
18	9
19	2
20	14
21	6
22	19
23	10
24	1
25	16
26	6
27	22
28	11
29	28
30	16
31	4
32	23
33	10
34	30
35	16
36	2
37	24
38	9
39	32
40	16
41	0
42	25
43	8
44	34
45	16
46	43
47	24
48	5
49	34
50	14
51	44
52	23
53	2
54	34
55	12
56	45
57	22
58	56
59	32
60	8
61	44
62	19
63	56
64	30
65	4
66	43
67	16
68	56
69	28
70	0
71	42
72	13
73	56
74	26
75	70
76	39

cp's OEIS Frontend

A194735 Number of positive integers k <= n such that {k*sqrt(2)} > {n*sqrt(2)}, where { } = fractional part.

Table of values

List of values

A194735 Number of positive integers k <= n such that {ksqrt(2)} > {nsqrt(2)}, where { } = fractional part.

n	a(n)
1	0
2	0
3	2
4	1
5	4
6	2
7	0
8	5
9	2
10	8
11	4
12	0
13	8
14	3
15	12
16	6
17	16
18	9
19	2
20	14
21	6
22	19
23	10
24	1
25	16
26	6
27	22
28	11
29	28
30	16
31	4
32	23
33	10
34	30
35	16
36	2
37	24
38	9
39	32
40	16
41	0
42	25
43	8
44	34
45	16
46	43
47	24
48	5
49	34
50	14
51	44
52	23
53	2
54	34
55	12
56	45
57	22
58	56
59	32
60	8
61	44
62	19
63	56
64	30
65	4
66	43
67	16
68	56
69	28
70	0
71	42
72	13
73	56
74	26
75	70
76	39