Mastering the skill of analyzing [chess positions] requires a massive amount of practice and hard work. But once you get it down, you will not regret the investment.—Joel Johnson (U.S. chess master) Formation Attacks (privately published, 2010), page 15.
This chapter will take a simple—almost trivial—function and write it in 12 different ways. Most of these tricks are not taught in school. You need to learn them on your own.
DEFINITION: The Fibonacci1 numbers are numbers in a sequence that begins 1, 1, … and thereafter each new number is the sum of the previous two numbers. ...