cp's OEIS Frontend

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.

A381100 Number of integer triples i <= j <= k such that a non-degenerate triangle with sides (i, j, k) fits inside an equilateral triangle with sides (n, n, n), possibly touching its boundary from inside.

Table of values

n a(n)
1 1
2 2
3 5
4 10
5 18
6 29
7 44
8 62
9 82
10 109
11 141
12 180
13 226
14 279
15 339
16 403
17 475
18 557
19 651
20 755
21 870
22 993
23 1125
24 1269
25 1425
26 1595
27 1780
28 1976
29 2188
30 2417
31 2652
32 2905
33 3173
34 3461
35 3769
36 4090
37 4436
38 4788
39 5161
40 5558
41 5968
42 6405
43 6857
44 7340
45 7840
46 8355
47 8893
48 9463
49 10048

List of values

[1, 2, 5, 10, 18, 29, 44, 62, 82, 109, 141, 180, 226, 279, 339, 403, 475, 557, 651, 755, 870, 993, 1125, 1269, 1425, 1595, 1780, 1976, 2188, 2417, 2652, 2905, 3173, 3461, 3769, 4090, 4436, 4788, 5161, 5558, 5968, 6405, 6857, 7340, 7840, 8355, 8893, 9463, 10048]