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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A354535 a(n) is the number of different tile sizes after n iterations of the "Square Multiscale" substitution.

Table of values

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

List of values

[1, 2, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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