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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.

A360076 a(n) = Sum_{k=0..n} binomial(3*k,n-k) * Catalan(k).

Table of values

n a(n)
0 1
1 1
2 5
3 20
4 90
5 430
6 2136
7 10937
8 57307
9 305822
10 1656482
11 9083432
12 50328114
13 281324294
14 1584578746
15 8984740485
16 51242962251
17 293772468164
18 1691974930584
19 9785378133297
20 56805049768157
21 330880419984832
22 1933299689139364
23 11328101469158554

List of values

[1, 1, 5, 20, 90, 430, 2136, 10937, 57307, 305822, 1656482, 9083432, 50328114, 281324294, 1584578746, 8984740485, 51242962251, 293772468164, 1691974930584, 9785378133297, 56805049768157, 330880419984832, 1933299689139364, 11328101469158554]