IMO 2014 Shortlist N4
Let n ą 1 be a given integer. Prove that infinitely many terms of the sequence pakqkě1, defined by ak “ Z nk k ^ , are o...
Category: Number Theory
Problem
Let n ą 1 be a given integer. Prove that infinitely many terms of the sequence pakqkě1, defined by ak “ Z nk k ^ , are odd. (For a real number x, txu denotes the largest integer not exceeding x.) (Hong Kong)