A194665 - cp's OEIS frontend

A194665 Number of k in [1,n] for which + > 1, where < > = fractional part and r = sqrt(2); row sums of A164664.

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

[0, 2, 1, 3, 0, 2, 6, 2, 7, 1, 6, 12, 5, 12, 4, 11, 1, 8, 17, 6, 15, 2, 12, 23, 9, 21, 5, 17, 0, 12, 26, 8, 22, 2, 16, 32, 11, 28, 5, 22, 40, 16, 35, 10, 29, 2, 21, 42, 14, 36, 6, 28, 51, 20, 44, 11, 35, 1, 25, 51, 16, 42, 5, 32, 60, 22, 51, 11, 40, 70, 29, 60, 18, 49, 5, 36]

cp's OEIS Frontend

A194665 Number of k in [1,n] for which + > 1, where < > = fractional part and r = sqrt(2); row sums of A164664.

Table of values

List of values

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

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

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