OFFSET
1,2
COMMENTS
Conjecture: this sequence is a permutation of the positive integers.
For any prime number p, the first multiple of p in the sequence is precisely p.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Colored logarithmic scatterplot of the first 100000 terms (where the color is function of A007814(n), the 2-adic valuation of n)
Rémy Sigrist, PARI program
EXAMPLE
The first terms, arranged alongside a binary tree where each right child equals its parent times its sibling, are:
|
1
|
.-------2-------.
| |
.---3---. .---6---.
| | | |
.-4-. .12-. .-5-. .30-.
| | | | | | | |
7 28 8 96 9 45 10 300
PROG
(PARI) \\ See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Apr 16 2024
STATUS
approved