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ASU 439 All Soviet Union MO 1986 P(2) = n, coefficients are 0, 1, 2 ,3.

Source:

August 7, 2019
polynomialalgebraInteger Polynomial

Problem Statement

Let us call a polynomial admissible if all it's coefficients are 0,1,20, 1, 2 or 33. For given nn find the number of all the admissible polynomials PP such, that P(2)=nP(2) = n.
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