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A277239 Number A(n,k) of factorizations of m^n into exactly k factors, where m is a product of two distinct primes; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 1
5 0
6 1
7 2
8 1
9 0
10 1
11 2
12 5
13 1
14 0
15 1
16 2
17 8
18 8
19 1
20 0
21 1
22 2
23 9
24 19
25 13
26 1
27 0
28 1
29 2
30 9
31 27
32 42
33 18
34 1
35 0
36 1
37 2
38 9
39 30
40 74
41 78
42 25
43 1
44 0
45 1
46 2
47 9
48 31
49 95
50 168
51 139
52 32
53 1
54 0
55 1
56 2
57 9
58 31
59 105
60 248
61 363
62 224
63 41
64 1
65 0
66 1
67 2
68 9
69 31
70 108
71 300
72 614
73 703
74 350
75 50
76 1
77 0

List of values

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 5, 1, 0, 1, 2, 8, 8, 1, 0, 1, 2, 9, 19, 13, 1, 0, 1, 2, 9, 27, 42, 18, 1, 0, 1, 2, 9, 30, 74, 78, 25, 1, 0, 1, 2, 9, 31, 95, 168, 139, 32, 1, 0, 1, 2, 9, 31, 105, 248, 363, 224, 41, 1, 0, 1, 2, 9, 31, 108, 300, 614, 703, 350, 50, 1, 0]