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A241500 Triangle T(n,k): number of ways of partitioning the n-element multiset {1,1,2,3,...,n-1} into exactly k nonempty parts, n>=1 and 1<=k<=n.

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 2
6 1
7 1
8 5
9 4
10 1
11 1
12 11
13 16
14 7
15 1
16 1
17 23
18 58
19 41
20 11
21 1
22 1
23 47
24 196
25 215
26 90
27 16
28 1
29 1
30 95
31 634
32 1041
33 640
34 176
35 22
36 1
37 1
38 191
39 1996
40 4767
41 4151
42 1631
43 315
44 29
45 1
46 1
47 383
48 6178
49 21001
50 25221
51 13587
52 3696
53 526
54 37
55 1
56 1
57 767
58 18916
59 90055
60 146140
61 105042
62 38409
63 7638
64 831
65 46
66 1

List of values

[1, 1, 1, 1, 2, 1, 1, 5, 4, 1, 1, 11, 16, 7, 1, 1, 23, 58, 41, 11, 1, 1, 47, 196, 215, 90, 16, 1, 1, 95, 634, 1041, 640, 176, 22, 1, 1, 191, 1996, 4767, 4151, 1631, 315, 29, 1, 1, 383, 6178, 21001, 25221, 13587, 3696, 526, 37, 1, 1, 767, 18916, 90055, 146140, 105042, 38409, 7638, 831, 46, 1]