A341584 - cp's OEIS frontend

A341584 Size of the largest subset of the numbers [1..n] which does not contain a 3-term arithmetic progression modulo n.

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

[0, 1, 2, 2, 2, 2, 4, 3, 4, 4, 4, 4, 4, 4, 6, 4, 6, 5, 8, 6, 8, 6, 8, 6, 8, 7, 8, 8, 8, 8, 8, 8, 9, 8, 10, 9, 10, 10, 12, 10, 11, 9, 12, 9, 12, 10, 12, 10, 13, 10, 14, 11, 14, 11, 16, 11, 16, 12, 16, 12, 16, 13, 16, 13, 16, 14, 16, 13, 16, 14, 18, 14, 16, 14, 20, 14, 16, 14, 20, 15, 18]

cp's OEIS Frontend

A341584 Size of the largest subset of the numbers [1..n] which does not contain a 3-term arithmetic progression modulo n.

Table of values

List of values

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

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

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