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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.

A261959 Number A(n,k) of ordered set partitions of {1,2,...,n} such that no part has the same size as any of its k immediate predecessors; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 3
6 1
7 1
8 1
9 13
10 1
11 1
12 1
13 7
14 75
15 1
16 1
17 1
18 7
19 21
20 541
21 1
22 1
23 1
24 7
25 9
26 81
27 4683
28 1
29 1
30 1
31 7
32 9
33 31
34 793
35 47293
36 1
37 1
38 1
39 7
40 9
41 31
42 403
43 4929
44 545835
45 1
46 1
47 1
48 7
49 9
50 31
51 403
52 1597
53 33029
54 7087261
55 1
56 1
57 1
58 7
59 9
60 31
61 403
62 757
63 7913
64 388537
65 102247563

List of values

[1, 1, 1, 1, 1, 3, 1, 1, 1, 13, 1, 1, 1, 7, 75, 1, 1, 1, 7, 21, 541, 1, 1, 1, 7, 9, 81, 4683, 1, 1, 1, 7, 9, 31, 793, 47293, 1, 1, 1, 7, 9, 31, 403, 4929, 545835, 1, 1, 1, 7, 9, 31, 403, 1597, 33029, 7087261, 1, 1, 1, 7, 9, 31, 403, 757, 7913, 388537, 102247563]