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A383430 a(n) is the size of the largest subset of {1,...,n} such that no two elements differ by 5 or 8.

Table of values

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

List of values

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