A381110 - cp's OEIS frontend

A381110 a(n) is the maximum number of points from the set {(k, f(k)); k = 0..n} belonging to a straight line passing through the point (n, f(n)), where f(n) = A060143(n) = floor(n/phi) and phi is the golden ratio (sqrt(5)+1)/2.

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	3
10	4
11	4
12	4
13	5
14	3
15	5
16	4
17	4
18	6
19	4
20	5
21	5
22	5
23	6
24	5
25	6
26	7
27	6
28	5
29	6
30	7
31	6
32	7
33	5
34	7
35	8
36	6
37	8
38	6
39	7
40	9
41	6
42	9
43	7
44	6
45	10
46	6
47	7
48	8
49	7
50	11
51	7
52	7
53	9
54	7
55	12
56	7
57	8
58	10
59	8
60	8
61	8
62	8
63	11
64	8
65	9
66	9
67	9
68	9
69	8
70	9
71	10
72	9
73	10
74	9
75	10
76	11
77	8
78	10
79	10
80	10
81	11
82	8

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

cp's OEIS Frontend

A381110 a(n) is the maximum number of points from the set {(k, f(k)); k = 0..n} belonging to a straight line passing through the point (n, f(n)), where f(n) = A060143(n) = floor(n/phi) and phi is the golden ratio (sqrt(5)+1)/2.

Table of values

List of values

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	3
10	4
11	4
12	4
13	5
14	3
15	5
16	4
17	4
18	6
19	4
20	5
21	5
22	5
23	6
24	5
25	6
26	7
27	6
28	5
29	6
30	7
31	6
32	7
33	5
34	7
35	8
36	6
37	8
38	6
39	7
40	9
41	6
42	9
43	7
44	6
45	10
46	6
47	7
48	8
49	7
50	11
51	7
52	7
53	9
54	7
55	12
56	7
57	8
58	10
59	8
60	8
61	8
62	8
63	11
64	8
65	9
66	9
67	9
68	9
69	8
70	9
71	10
72	9
73	10
74	9
75	10
76	11
77	8
78	10
79	10
80	10
81	11
82	8

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	3
10	4
11	4
12	4
13	5
14	3
15	5
16	4
17	4
18	6
19	4
20	5
21	5
22	5
23	6
24	5
25	6
26	7
27	6
28	5
29	6
30	7
31	6
32	7
33	5
34	7
35	8
36	6
37	8
38	6
39	7
40	9
41	6
42	9
43	7
44	6
45	10
46	6
47	7
48	8
49	7
50	11
51	7
52	7
53	9
54	7
55	12
56	7
57	8
58	10
59	8
60	8
61	8
62	8
63	11
64	8
65	9
66	9
67	9
68	9
69	8
70	9
71	10
72	9
73	10
74	9
75	10
76	11
77	8
78	10
79	10
80	10
81	11
82	8

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	3
6	4
7	3
8	5
9	3
10	4
11	4
12	4
13	5
14	3
15	5
16	4
17	4
18	6
19	4
20	5
21	5
22	5
23	6
24	5
25	6
26	7
27	6
28	5
29	6
30	7
31	6
32	7
33	5
34	7
35	8
36	6
37	8
38	6
39	7
40	9
41	6
42	9
43	7
44	6
45	10
46	6
47	7
48	8
49	7
50	11
51	7
52	7
53	9
54	7
55	12
56	7
57	8
58	10
59	8
60	8
61	8
62	8
63	11
64	8
65	9
66	9
67	9
68	9
69	8
70	9
71	10
72	9
73	10
74	9
75	10
76	11
77	8
78	10
79	10
80	10
81	11
82	8