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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.

A027434 a(1) = 2; then defined by property that a(n) = smallest number >= a(n-1) such that successive runs have lengths 1,1,2,2,3,3,4,4.

Table of values

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

List of values

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

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