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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.

A375470 a(n) = Sum_{k=0..floor(n/3)} (k+1) * binomial(k,n-3*k)^2.

Table of values

n a(n)
0 1
1 0
2 0
3 2
4 2
5 0
6 3
7 12
8 3
9 4
10 36
11 36
12 9
13 80
14 180
15 86
16 155
17 600
18 607
19 402
20 1581
21 2808
22 1967
23 3780
24 9816
25 10376
26 10584
27 28626
28 44918
29 41184
30 77627
31 160436
32 181044
33 228972
34 499512
35 735654
36 811823
37 1467072
38 2640231
39 3191642
40 4494502
41 8566308
42 12280547
43 15315974
44 26498718

List of values

[1, 0, 0, 2, 2, 0, 3, 12, 3, 4, 36, 36, 9, 80, 180, 86, 155, 600, 607, 402, 1581, 2808, 1967, 3780, 9816, 10376, 10584, 28626, 44918, 41184, 77627, 160436, 181044, 228972, 499512, 735654, 811823, 1467072, 2640231, 3191642, 4494502, 8566308, 12280547, 15315974, 26498718]

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

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