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.

A261993 Number of distinct fractional parts of the numbers 1/(prime(j)-1)+...+1/(prime(k)-1) with 1 <= j <= k <= n, where the fractional part of x is given by x - floor(x).

Table of values

n a(n)
1 1
2 2
3 4
4 7
5 11
6 15
7 21
8 28
9 36
10 45
11 55
12 66
13 78
14 91
15 105
16 120
17 136
18 151
19 169
20 188
21 208
22 229
23 251
24 274
25 298
26 323
27 349
28 376
29 404
30 433
31 463
32 494
33 526
34 559
35 593
36 628
37 664
38 701
39 739
40 778
41 818
42 859
43 901
44 944
45 988
46 1033
47 1079
48 1126
49 1174
50 1223
51 1273
52 1324
53 1376
54 1429
55 1483
56 1538
57 1594
58 1651
59 1709
60 1768

List of values

[1, 2, 4, 7, 11, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 151, 169, 188, 208, 229, 251, 274, 298, 323, 349, 376, 404, 433, 463, 494, 526, 559, 593, 628, 664, 701, 739, 778, 818, 859, 901, 944, 988, 1033, 1079, 1126, 1174, 1223, 1273, 1324, 1376, 1429, 1483, 1538, 1594, 1651, 1709, 1768]