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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.

A030038 a(n+1) = Sum_{k=0..floor(3*n/5)} a(k) * a(n-k).

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 3
5 6
6 13
7 26
8 57
9 117
10 262
11 602
12 1329
13 3079
14 6903
15 16161
16 38185
17 87745
18 207896
19 481817
20 1148246
21 2755781
22 6485489
23 15592656
24 36899080
25 88966356
26 215687474
27 515590781
28 1251629165
29 2998835401
30 7291353036
31 17803231663
32 42980538045
33 104981503048
34 253813177447

List of values

[1, 1, 1, 2, 3, 6, 13, 26, 57, 117, 262, 602, 1329, 3079, 6903, 16161, 38185, 87745, 207896, 481817, 1148246, 2755781, 6485489, 15592656, 36899080, 88966356, 215687474, 515590781, 1251629165, 2998835401, 7291353036, 17803231663, 42980538045, 104981503048, 253813177447]

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

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