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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.

A120178 a(n)=ceiling( sum_{i=1..n-1} a(i)/6), a(1)=1.

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 2
9 2
10 2
11 3
12 3
13 4
14 4
15 5
16 6
17 7
18 8
19 9
20 11
21 13
22 15
23 17
24 20
25 23
26 27
27 32
28 37
29 43
30 50
31 59
32 69
33 80
34 93
35 109
36 127
37 148
38 173
39 202
40 235
41 275
42 320
43 374
44 436
45 509
46 594
47 693
48 808
49 943
50 1100
51 1283
52 1497
53 1747
54 2038
55 2377
56 2774
57 3236
58 3775
59 4404
60 5138
61 5995
62 6994

List of values

[1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 20, 23, 27, 32, 37, 43, 50, 59, 69, 80, 93, 109, 127, 148, 173, 202, 235, 275, 320, 374, 436, 509, 594, 693, 808, 943, 1100, 1283, 1497, 1747, 2038, 2377, 2774, 3236, 3775, 4404, 5138, 5995, 6994]