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A120095 Triangle T(n,k) = total of number at last index for all set partitions of n into k parts.

Table of values

n a(n)
1 1
2 1
3 2
4 1
5 5
6 3
7 1
8 11
9 15
10 4
11 1
12 23
13 57
14 34
15 5
16 1
17 47
18 195
19 200
20 65
21 6
22 1
23 95
24 633
25 1010
26 550
27 111
28 7
29 1
30 191
31 1995
32 4704
33 3850
34 1281
35 175
36 8
37 1
38 383
39 6177
40 20874
41 24255
42 11886
43 2646
44 260
45 9
46 1
47 767
48 18915
49 89800
50 143115
51 97272
52 31458
53 4992
54 369
55 10

List of values

[1, 1, 2, 1, 5, 3, 1, 11, 15, 4, 1, 23, 57, 34, 5, 1, 47, 195, 200, 65, 6, 1, 95, 633, 1010, 550, 111, 7, 1, 191, 1995, 4704, 3850, 1281, 175, 8, 1, 383, 6177, 20874, 24255, 11886, 2646, 260, 9, 1, 767, 18915, 89800, 143115, 97272, 31458, 4992, 369, 10]