$7x\pm 1$: Close Relative of Collatz Problem

Abstract

We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of Collatz function. The conjecture is supported by a heuristic argument and computational results.

fixed small typo

References in corpus (2)

• The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)
• The 3x+1 problem: An annotated bibliography (1963--1999) (sorted by author)