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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.

A036496 Number of lines that intersect the first n points on a spiral on a triangular lattice. The spiral starts at (0,0), goes to (1,0) and (1/2, sqrt(3)/2) and continues counterclockwise.

Table of values

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

List of values

[0, 3, 5, 6, 7, 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30]

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

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