The finitude of the periodic points of the Conway ordered sequence
Keywords:Fixed point, Function, Sequence, Orbit
In this paper, we present some properties of the Conway ordered sequence or counting sequence. Such properties are related to orbits and fixed points. Our main result is to determine a limitation for the number of digits in the orbit of any natural number x, that is, starting with any finite initial term, the sequence terms will have a length limited to a maximum of 21 digits, and therefore the orbits are relatively periodics.
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