Let $a \ge 2$ be an integer. Find all polynomials $f$ with real coefficients such that $$A = \{a^{n^2} | n \ge 1, n \in Z\} \subset \{f(n) | n \ge 1, n \in Z\} = B.$$
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Tags: algebra, polynomial, 4th edition
Let $a \ge 2$ be an integer. Find all polynomials $f$ with real coefficients such that $$A = \{a^{n^2} | n \ge 1, n \in Z\} \subset \{f(n) | n \ge 1, n \in Z\} = B.$$