OFFSET
1,2
COMMENTS
This sequence can be seen as an infinite complete binary tree where each node (except the root node) is a multiple or a divisor of its parent.
Will every integer appear in the sequence?
If we have a multiple of a prime number p, then the sequence contains p, and a multiple of q for any prime number q < p.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10001
Rémy Sigrist, PARI program
EXAMPLE
The first terms (arranged as a binary tree) are:
|
a(1) .-------------1-------------.
| |
a(2-3) .------2------. .------3------.
| | | |
a(4-7) .---4--. .---6--. .---9--. .--12--.
| | | | | | | |
a(8-15) 8 16 18 24 27 36 48 60
PROG
(PARI) \\ See Links section.
CROSSREFS
KEYWORD
nonn,new
AUTHOR
Rémy Sigrist, Oct 18 2024
STATUS
approved