OFFSET
1,2
COMMENTS
A sequence of distinct positive integers in which the ratios of successive terms (larger over smaller) are all distinct.
A100707 is an analogous sequence using addition and subtraction.
LINKS
Neal Gersh Tolunsky, Table of n, a(n) for n = 1..10000
EXAMPLE
a(1)=1: 1 * 2 = 2 (k=2 is the smallest number not yet used as a divisor or multiplier).
a(2)=2: 2 * 3 = 6 (k=3 has not been used before).
a(3)=6: 6 * 4 = 24 (k=4 has not been used before).
a(4)=24: 24 / 6 = 4 (k=6 has not been used before).
a(11)=72: 72 / 24 = 3 (k=24 has not been used before). Note that we would have used k=12 if this did not result in a repeated term (72 / 12 = a(3)=6).
CROSSREFS
KEYWORD
nonn
AUTHOR
Neal Gersh Tolunsky, Mar 19 2024
EXTENSIONS
a(12) and beyond from John Tyler Rascoe, Mar 20 2024
STATUS
approved