cp's OEIS Frontend

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.

A382330 a(n) is the number of positive integers k for which Sum_{i=1..j} (p_i+e_i) = n, where p_1^e_1*...*p_j^e_j is the prime factorization of k.

Table of values

n a(n)
1 0
2 0
3 1
4 2
5 2
6 3
7 4
8 6
9 8
10 11
11 15
12 21
13 27
14 36
15 47
16 61
17 79
18 104
19 133
20 170
21 215
22 272
23 343
24 433
25 542
26 678
27 845
28 1050
29 1300
30 1608
31 1981
32 2437
33 2988
34 3655
35 4460
36 5433
37 6603
38 8014
39 9705
40 11731
41 14155
42 17055
43 20509
44 24624
45 29512
46 35313
47 42184
48 50315
49 59916
50 71248
51 84598

List of values

[0, 0, 1, 2, 2, 3, 4, 6, 8, 11, 15, 21, 27, 36, 47, 61, 79, 104, 133, 170, 215, 272, 343, 433, 542, 678, 845, 1050, 1300, 1608, 1981, 2437, 2988, 3655, 4460, 5433, 6603, 8014, 9705, 11731, 14155, 17055, 20509, 24624, 29512, 35313, 42184, 50315, 59916, 71248, 84598]