%0 Unpublished Work %1 Barina2018-7x+1 %A Barina, David %D 2018 %K collatz myown %T 7x±1: Close Relative of Collatz Problem %U http://arxiv.org/abs/1807.00908 %X We show an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.

@unpublished{Barina2018-7x+1, abstract = {We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace.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.}, added-at = {2018-07-28T12:33:37.000+0200}, author = {Barina, David}, biburl = {https://www.bibsonomy.org/bibtex/2b8d88c0c49e21d6a8e082be274dc5f31/dabler}, description = {$7x\pm1$: Close Relative of Collatz Problem}, interhash = {e4e4517049fd4442d5a4e97af28fedfb}, intrahash = {b8d88c0c49e21d6a8e082be274dc5f31}, keywords = {collatz myown}, note = {cite arxiv:1807.00908}, timestamp = {2018-07-28T12:33:37.000+0200}, title = {7x±1: Close Relative of Collatz Problem}, url = {http://arxiv.org/abs/1807.00908}, year = 2018 }