On Base 3/2 and its Sequences
Number Theory
2018-08-14 v1
Abstract
We discuss properties of integers in base 3/2. We also introduce many new sequences related to base 3/2. Some sequences discuss patterns related to integers in base 3/2. Other sequence are analogues of famous base-10 sequences: we discuss powers of 3 and 2, Look-and-say, and sorted and reverse sorted Fibonaccis. The eventual behavior of sorted and reverse sorted Fibs leads to special Pinocchio and Oihcconip sequences respectively.
Keywords
Cite
@article{arxiv.1808.04304,
title = {On Base 3/2 and its Sequences},
author = {Ben Chen and Richard Chen and Joshua Guo and Tanya Khovanova and Shane Lee and Neil Malur and Nastia Polina and Poonam Sahoo and Anuj Sakarda and Nathan Sheffield and Armaan Tipirneni},
journal= {arXiv preprint arXiv:1808.04304},
year = {2018}
}
Comments
21 pages, 4 figures