Quadratic polynomial

Does there exist a rational quadratic polynomial of Sharkovskys type 2-infinity?

I agree with the answer of jc in the case of real polynomial, for this question http://mathoverflow.net/questions/63441/does-there-exist-a-real-quadratic-polynomial-of-sharkovskys-type-2-infinity

edited May 2 2011 at 12:10

asked Apr 30 2011 at 6:34

Aliakbar
11●2

It is customary over here to invest a certain amount of care in the questions. – Franz Lemmermeyer Apr 30 2011 at 7:18

This would seem to be a follow-up to mathoverflow.net/questions/63441/… – Gerry Myerson Apr 30 2011 at 8:17

Here it is quadratic polynomial with rational coefficient. – Aliakbar Apr 30 2011 at 9:16

Unlikely. All such examples usually involve the Thue-Morse sequence, which usually leads to transcendental numbers. (Its binary sum is transcendental, say.) – Nikita Sidorov Apr 30 2011 at 13:07

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