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7x±1: Close Relative of Collatz Problem

. (2018)cite arxiv:1807.00908Comment: 7 pages, a4paper, abstract and references extended.

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.

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7x±1: Close Relative of Collatz Problem

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barina20187xpm1
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