A304884 - cp's OEIS frontend

A304884 Size of the largest subset of the cyclic group of order n which does not contain a nontrivial 3-term arithmetic progression.

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

[1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 10, 8, 10, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 12, 11, 11, 11, 11, 12, 11, 12, 12, 13, 12, 13, 13, 14, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15]

cp's OEIS Frontend

A304884 Size of the largest subset of the cyclic group of order n which does not contain a nontrivial 3-term arithmetic progression.

Table of values

List of values

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

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

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