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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.

A373640 a(n) = Sum_{k=0..floor(n/3)} binomial(3*n-8*k,k).

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 5
5 8
6 12
7 24
8 45
9 76
10 134
11 246
12 440
13 775
14 1386
15 2490
16 4437
17 7902
18 14128
19 25248
20 45042
21 80396
22 143604
23 256410
24 457704
25 817209
26 1459215
27 2605267
28 4651330
29 8304787
30 14827872
31 26473839
32 47266965
33 84392484
34 150677220
35 269022969
36 480322072
37 857583545

List of values

[1, 1, 1, 2, 5, 8, 12, 24, 45, 76, 134, 246, 440, 775, 1386, 2490, 4437, 7902, 14128, 25248, 45042, 80396, 143604, 256410, 457704, 817209, 1459215, 2605267, 4651330, 8304787, 14827872, 26473839, 47266965, 84392484, 150677220, 269022969, 480322072, 857583545]

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

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