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A322921 From Goldbach's conjecture: a(n) is the number of decompositions of 6n into a sum of two primes.

Table of values

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

List of values

[1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 9, 7, 8, 8, 10, 12, 10, 9, 8, 11, 12, 11, 10, 13, 11, 14, 13, 11, 13, 14, 19, 13, 11, 12, 15, 18, 16, 16, 14, 16, 19, 16, 16, 17, 19, 21, 15, 17, 15, 20, 24, 19, 17, 16, 20, 22, 18, 18, 22, 19, 27, 21, 17, 20, 21, 30]