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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A259301 Taken over all those prime-partitionable numbers m for which there exists a 2-partition of the set of primes < m that has one subset containing two primes only, a(n) is the frequency with which the smaller prime occurs, where n is the prime index.

Table of values

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

List of values

[0, 0, 1, 1, 3, 3, 3, 2, 4, 4, 3, 4, 5, 7, 8, 5, 8, 7, 8, 9, 10, 10, 11, 12, 12, 14, 13, 13, 12, 15, 14, 14, 17, 14, 19, 17, 12, 18, 13, 19, 20, 22, 20, 23, 21, 15, 21, 21, 23, 25, 26, 23, 26, 26, 19, 23, 27, 24, 29, 27, 26, 28, 31, 29, 30, 25, 30, 29, 34, 30]