Problem #PRU-61473

Problems Algebra and arithmetic Algebraic equations and systems of equations Higher order equations. Palindromic polynomial equations Equations of higher order (other) Calculus Real numbers Integer and fractional parts. Archimedean property

Problem

A frog jumps over the vertices of the triangle \(ABC\), moving each time to one of the neighbouring vertices.

How many ways can it get from \(A\) to \(A\) in \(n\) jumps?