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Jan 1, 2019 at 19:46 comment added vassilis papanicolaou I thought of this problem while writing the paper "A Randomized Version of the Collatz 3x+1 Problem " (see arXiv:1503.03658). I feel it is related to Collatz, but I cannot tell if it is equivalent to Collatz. I called it "complementary of the Collatz" because here we need to show that the produced sequence takes ALL odd numbers (or ALL $\pm 1$ (mod $6$) numbers in the second version), while for the "original" Collatz we want the sequence to take only finitely many distinct values.
Dec 30, 2018 at 20:16 history answered Robert Frost CC BY-SA 4.0