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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.

A100134 a(n) = Sum_{k=0..floor(n/6)} binomial(n-3k,3k).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 2
7 5
8 11
9 21
10 36
11 57
12 86
13 128
14 194
15 305
16 497
17 827
18 1381
19 2287
20 3739
21 6042
22 9693
23 15519
24 24901
25 40126
26 64933
27 105364
28 171112
29 277696
30 450017
31 728201
32 1177181
33 1902321
34 3074733
35 4972113
36 8044478
37 13020029
38 21075947
39 34114553

List of values

[1, 1, 1, 1, 1, 1, 2, 5, 11, 21, 36, 57, 86, 128, 194, 305, 497, 827, 1381, 2287, 3739, 6042, 9693, 15519, 24901, 40126, 64933, 105364, 171112, 277696, 450017, 728201, 1177181, 1902321, 3074733, 4972113, 8044478, 13020029, 21075947, 34114553]