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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.

A108080 a(n) = Sum_{i=0..n} binomial(2*n+i,n-i).

Table of values

n a(n)
0 1
1 3
2 12
3 50
4 211
5 895
6 3805
7 16193
8 68940
9 293526
10 1249622
11 5318976
12 22634700
13 96296410
14 409573584
15 1741574006
16 7403616923
17 31466106703
18 133704121665
19 568008916093
20 2412570019447
21 10245302874071
22 43500597657111
23 184670002546295
24 783850164628721
25 3326671128027805
26 14116630429874265

List of values

[1, 3, 12, 50, 211, 895, 3805, 16193, 68940, 293526, 1249622, 5318976, 22634700, 96296410, 409573584, 1741574006, 7403616923, 31466106703, 133704121665, 568008916093, 2412570019447, 10245302874071, 43500597657111, 184670002546295, 783850164628721, 3326671128027805, 14116630429874265]