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A319298 Number T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by increasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows.

Table of values

n a(n)
1 1
2 3
3 1
4 7
5 7
6 1
7 21
8 25
9 13
10 1
11 66
12 101
13 71
14 21
15 1
16 258
17 366
18 396
19 166
20 31
21 1
22 1079
23 1555
24 1877
25 1247
26 337
27 43
28 1
29 4987
30 7099
31 9199
32 7855
33 3305
34 617
35 57
36 1
37 25195
38 34627
39 47371
40 47245
41 27085
42 7681
43 1045
44 73
45 1
46 136723
47 184033
48 253108
49 284968
50 203278
51 79756
52 16126
53 1666
54 91
55 1

List of values

[1, 3, 1, 7, 7, 1, 21, 25, 13, 1, 66, 101, 71, 21, 1, 258, 366, 396, 166, 31, 1, 1079, 1555, 1877, 1247, 337, 43, 1, 4987, 7099, 9199, 7855, 3305, 617, 57, 1, 25195, 34627, 47371, 47245, 27085, 7681, 1045, 73, 1, 136723, 184033, 253108, 284968, 203278, 79756, 16126, 1666, 91, 1]