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A274517 Number T(n,k) of integer partitions of n with exactly k distinct primes.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 2
6 2
7 3
8 2
9 4
10 1
11 3
12 7
13 1
14 3
15 9
16 3
17 5
18 12
19 5
20 6
21 15
22 9
23 8
24 22
25 11
26 1
27 8
28 28
29 19
30 1
31 12
32 38
33 24
34 3
35 13
36 46
37 38
38 4
39 17
40 62
41 48
42 8
43 19
44 77
45 68
46 12
47 26
48 98
49 87
50 20
51 28
52 117
53 127
54 24
55 1
56 37
57 152
58 154
59 41
60 1
61 40
62 183
63 210
64 55
65 2
66 52
67 230
68 260
69 82
70 3

List of values

[1, 1, 1, 1, 1, 2, 2, 3, 2, 4, 1, 3, 7, 1, 3, 9, 3, 5, 12, 5, 6, 15, 9, 8, 22, 11, 1, 8, 28, 19, 1, 12, 38, 24, 3, 13, 46, 38, 4, 17, 62, 48, 8, 19, 77, 68, 12, 26, 98, 87, 20, 28, 117, 127, 24, 1, 37, 152, 154, 41, 1, 40, 183, 210, 55, 2, 52, 230, 260, 82, 3]