Jump Around the Regular Hexagon
Source: 1997 National High School Mathematics League, Exam One, Problem 11
March 4, 2020
Problem Statement
is a regular hexagon. A frog sarts jumping at , each time it can jump to one of the two adjacent points. If the frog jump to in no more than five times, it stops. After five jumpings, if the frog hasn't jumped to yet, it will stop as well. Then the number of different ways to jump is________.