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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.

A371758 a(n) = Sum_{k=0..floor(n/3)} binomial(2*n-3*k-1,n-3*k).

Table of values

n a(n)
0 1
1 1
2 3
3 11
4 39
5 141
6 519
7 1933
8 7263
9 27479
10 104543
11 399543
12 1532779
13 5899167
14 22766607
15 88073091
16 341425551
17 1326019653
18 5158412943
19 20096457549
20 78396460299
21 306190920837
22 1197181197567
23 4685523856881
24 18354865147011
25 71962695111841
26 282357198103815

List of values

[1, 1, 3, 11, 39, 141, 519, 1933, 7263, 27479, 104543, 399543, 1532779, 5899167, 22766607, 88073091, 341425551, 1326019653, 5158412943, 20096457549, 78396460299, 306190920837, 1197181197567, 4685523856881, 18354865147011, 71962695111841, 282357198103815]