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A087903 Triangle read by rows of the numbers T(n,k) (n > 1, 0 < k < n) of set partitions of n of length k which do not have a proper subset of parts with a union equal to a subset {1,2,...,j} with j < n.

Table of values

n a(n)
2 1
3 1
4 1
5 1
6 4
7 1
8 1
9 11
10 9
11 1
12 1
13 26
14 48
15 16
16 1
17 1
18 57
19 202
20 140
21 25
22 1
23 1
24 120
25 747
26 916
27 325
28 36
29 1
30 1
31 247
32 2559
33 5071
34 3045
35 651
36 49
37 1
38 1
39 502
40 8362
41 25300
42 23480
43 8260
44 1176
45 64
46 1
47 1
48 1013
49 26520
50 117962
51 159736
52 84456
53 19404
54 1968
55 81
56 1
57 1
58 2036
59 82509
60 525608
61 998830
62 749154
63 253764
64 40944
65 3105
66 100
67 1

List of values

[1, 1, 1, 1, 4, 1, 1, 11, 9, 1, 1, 26, 48, 16, 1, 1, 57, 202, 140, 25, 1, 1, 120, 747, 916, 325, 36, 1, 1, 247, 2559, 5071, 3045, 651, 49, 1, 1, 502, 8362, 25300, 23480, 8260, 1176, 64, 1, 1, 1013, 26520, 117962, 159736, 84456, 19404, 1968, 81, 1, 1, 2036, 82509, 525608, 998830, 749154, 253764, 40944, 3105, 100, 1]