A194163 - cp's OEIS frontend

A194163 a(n) = [sum{(k*r) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=sqrt(3).

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

[0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 13, 14, 14, 15, 16, 16, 16, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 23, 23, 23, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 29, 30, 31, 31, 31, 32, 33, 33, 33, 34, 34, 35, 36, 36]

cp's OEIS Frontend

A194163 a(n) = [sum{(k*r) : 1<=k<=n}], where [ ]=floor, ( )=fractional part, and r=sqrt(3).

Table of values

List of values

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

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

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