MathDB

Starting with a list of three numbers, the “Make-My-Day” procedure creates a new list by replacing each number by the sum of the other two. For example, from

\{1, 3, 8\}

“Make-My-Day” gives

\{11, 9, 4\}

and a new “MakeMy-Day” leads to

\{13, 15, 20\}

. If we begin with

\{20, 1, 8\}

, what is the maximum difference between two numbers on the list after

2018

consecutive “Make-My-Day”s?

Problem Statement