3x+1 Minus the +

We use Conway's \emphFractran language to derive a function R:\textbfZ^+ → \textbfZ^+ of the form R(n) = r_in if n ≡ i \bmod d where d is a positive integer, 0 ≤ i < d and r_0,r_1, ... r_d-1 are rational numbers, such that the famous 3x+1 conjecture holds if and only if the R-orbit of 2^n co...

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Bibliographic Details
Published in:Discrete Mathematics & Theoretical Computer Science
Main Author: Kenneth G. Monks
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2002-01-01
Subjects:
Online Access:https://dmtcs.episciences.org/297/pdf