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A238882 Coefficients in a variant of Ramanujan's wrong identity for prime number partitions.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 -1
6 1
7 1
8 -1
9 1
10 -1
11 -1
12 1
13 -1
14 1
15 -2
16 2
17 -1
18 3
19 1
20 2
21 1
22 -1
23 -4
24 1
25 -4
26 -4
27 -10
28 -2
29 -8
30 -4
31 -5
32 -4
33 -1
34 1
35 2
36 5
37 6
38 13
39 12
40 16
41 18
42 21
43 25
44 23
45 30
46 22
47 23
48 21
49 21
50 18
51 14
52 8
53 -1
54 -9
55 -20
56 -36
57 -36
58 -51
59 -61
60 -75
61 -80
62 -96
63 -103

List of values

[1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -2, 2, -1, 3, 1, 2, 1, -1, -4, 1, -4, -4, -10, -2, -8, -4, -5, -4, -1, 1, 2, 5, 6, 13, 12, 16, 18, 21, 25, 23, 30, 22, 23, 21, 21, 18, 14, 8, -1, -9, -20, -36, -36, -51, -61, -75, -80, -96, -103]