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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.

A360274 a(n) = Sum_{k=0..floor(n/3)} Catalan(n-3*k).

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 15
5 44
6 138
7 444
8 1474
9 5000
10 17240
11 60260
12 213012
13 760140
14 2734700
15 9907857
16 36117810
17 132379490
18 487546557
19 1803381000
20 6696499910
21 24953813577
22 93285944640
23 349756113560
24 1314857960901
25 4955232346092
26 18717109185712
27 70848408876905

List of values

[1, 1, 2, 6, 15, 44, 138, 444, 1474, 5000, 17240, 60260, 213012, 760140, 2734700, 9907857, 36117810, 132379490, 487546557, 1803381000, 6696499910, 24953813577, 93285944640, 349756113560, 1314857960901, 4955232346092, 18717109185712, 70848408876905]

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

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