|t(x)||=||x/3||if x ≡ 0 (mod 3)|
|t(x)||=||(4x-1)/3||if x ≡ 1 (mod 3)|
|t(x)||=||(4x+1)/3||if x ≡ -1 (mod 3)|
This remarkable phenomenon was discovered by Lu Pei and communicated to Keith Matthews in November 1997.
We remark that the iterates of -x are the negative of the iterates of x, so it is enough to consider positive starting values x.
Also see a generalization to d branches.
Last modified 10th January 2011
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