Conway’s RATS Sequences in Base 3
Johann Thiel
Department of Mathematical Sciences
United States Military Academy
West Point, NY 10996
USA
Abstract:
We study the behavior of Conways RATS (reverse-add-then-sort) sequences
in base 3. An independent proof is given of Gentges' result that all
RATS sequences in base 3 are ultimately periodic. We also prove
Erdős-Kac and Hardy-Ramanujan type results for the periods of such
sequences.
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(Concerned with sequence
A066711.)
Received May 30 2012;
revised version received November 1 2012.
Published in Journal of Integer Sequences, November 4 2012.
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