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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.

A377150 a(n) = Sum_{k=0..floor(n/3)} binomial(k+3,3) * binomial(k,n-3*k)^2.

Table of values

n a(n)
0 1
1 0
2 0
3 4
4 4
5 0
6 10
7 40
8 10
9 20
10 180
11 180
12 55
13 560
14 1260
15 616
16 1435
17 5600
18 5684
19 4424
20 18956
21 33720
22 24780
23 55944
24 147249
25 157560
26 182280
27 523540
28 826440
29 802560
30 1681966
31 3531880
32 4072035
33 5671084
34 12941764
35 19281064
36 22523175
37 43823520
38 80254746
39 99744776

List of values

[1, 0, 0, 4, 4, 0, 10, 40, 10, 20, 180, 180, 55, 560, 1260, 616, 1435, 5600, 5684, 4424, 18956, 33720, 24780, 55944, 147249, 157560, 182280, 523540, 826440, 802560, 1681966, 3531880, 4072035, 5671084, 12941764, 19281064, 22523175, 43823520, 80254746, 99744776]

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

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