Don, Sorry it's taken me so long, but I finally had time to look at your proof today. It looks sound. So now we know that 1/3 does not have any eventually periodic expansion in the permissive version of base 3/2 that uses the digits 0, 1, and 2. Thanks! Jim On Tue, Sep 27, 2016 at 10:49 PM, Don Reble <djr@nk.ca> wrote:

Can you rewrite and repost, if it's not too much trouble?

...

Done.

-- Don Reble djr@nk.ca