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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.

A357903 a(n) = Sum_{k=0..floor(n/3)} Stirling2(n - 2*k,k).

Table of values

n a(n)
0 1
1 0
2 0
3 1
4 1
5 1
6 2
7 4
8 8
9 17
10 38
11 89
12 219
13 567
14 1543
15 4400
16 13094
17 40507
18 129874
19 430731
20 1476030
21 5222544
22 19066758
23 71764369
24 278166767
25 1108986222
26 4541765652
27 19085377108
28 82211094414
29 362717859475
30 1638071537802
31 7567876937002
32 35748311794246
33 172558399424154

List of values

[1, 0, 0, 1, 1, 1, 2, 4, 8, 17, 38, 89, 219, 567, 1543, 4400, 13094, 40507, 129874, 430731, 1476030, 5222544, 19066758, 71764369, 278166767, 1108986222, 4541765652, 19085377108, 82211094414, 362717859475, 1638071537802, 7567876937002, 35748311794246, 172558399424154]

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

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