Whole number generators
Whole number generators are “machines” that output a whole number – an integer – for each natural number 1, 2, 3, … that is input to the machine. A whole number generator may have a simple rule such as
output(n) = output(n-1)+output(n-2)
or might be far more mysterious in its operation of generating output numbers. Whole number generators produce sequences of whole numbers that can be found in many areas of mathematics and science. Their study is fun, fascinating, and illuminating.