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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.

A338085 a(n) is the cardinality of S(n), the subset of partitions of n such that there are enough smaller parts to add together to be greater than a larger part.

Table of values

n a(n)
1 0
2 0
3 0
4 0
5 1
6 1
7 5
8 5
9 12
10 18
11 30
12 36
13 65
14 83
15 120
16 159
17 225
18 284
19 395
20 495
21 665
22 848
23 1094
24 1348
25 1757
26 2184
27 2746
28 3399
29 4250
30 5199
31 6469
32 7867
33 9667
34 11756
35 14310
36 17266
37 20988
38 25216
39 30372
40 36371
41 43648
42 52041
43 62187
44 73866
45 87837
46 104105
47 123279
48 145453

List of values

[0, 0, 0, 0, 1, 1, 5, 5, 12, 18, 30, 36, 65, 83, 120, 159, 225, 284, 395, 495, 665, 848, 1094, 1348, 1757, 2184, 2746, 3399, 4250, 5199, 6469, 7867, 9667, 11756, 14310, 17266, 20988, 25216, 30372, 36371, 43648, 52041, 62187, 73866, 87837, 104105, 123279, 145453]