On Base 3/2 and its Sequences

Ben Chen; Richard Chen; Joshua Guo; Tanya Khovanova; Shane Lee; Neil Malur; Nastia Polina; Poonam Sahoo; Anuj Sakarda; Nathan Sheffield; Armaan Tipirneni

arXiv · 1808.04304

On Base 3/2 and its Sequences

Ben Chen·Richard Chen·Joshua Guo·Tanya Khovanova·Shane Lee·Neil Malur·Nastia Polina·Poonam Sahoo·Anuj Sakarda·Nathan Sheffield·Armaan Tipirneni

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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.

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Ben Chen, Richard Chen, Joshua Guo, Tanya Khovanova, Shane Lee, Neil Malur, Nastia Polina, Poonam Sahoo, Anuj Sakarda, Nathan Sheffield, Armaan Tipirneni. 2018-08-13. On Base 3/2 and its Sequences. https://arxiv.org/abs/1808.04304

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