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