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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.

A137356 a(n) = Sum_{k <= n/2 } binomial(n-2k, 3k).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 2
6 5
7 11
8 21
9 36
10 58
11 92
12 149
13 250
14 431
15 750
16 1299
17 2227
18 3784
19 6401
20 10828
21 18364
22 31236
23 53228
24 90741
25 154603
26 263178
27 447702
28 761403
29 1295022
30 2203162
31 3749001
32 6380241
33 10858285
34 18478155
35 31443013
36 53501860
37 91034937
38 154900529
39 263576791

List of values

[1, 1, 1, 1, 1, 2, 5, 11, 21, 36, 58, 92, 149, 250, 431, 750, 1299, 2227, 3784, 6401, 10828, 18364, 31236, 53228, 90741, 154603, 263178, 447702, 761403, 1295022, 2203162, 3749001, 6380241, 10858285, 18478155, 31443013, 53501860, 91034937, 154900529, 263576791]