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0411 polynomials 4th edition Round 1 p1

Source:

May 7, 2021
algebrapolynomial4th edition

Problem Statement

Let a≥2a \ge 2 be an integer. Find all polynomials ff with real coefficients such that A={an2∣n≥1,n∈Z}⊂{f(n)∣n≥1,n∈Z}=B.A = \{a^{n^2} | n \ge 1, n \in Z\} \subset \{f(n) | n \ge 1, n \in Z\} = B.
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