Gain an understanding of what number sequences and number patterns are and how a list of numbers is linked together by a rule.

After dividing 1 by 999-quattuordecillion (a number that’s 48 integers long), you get the Fibonacci sequence presented in neat, 24-digit strings. Here’s why that happens.

The Fibonacci sequence is a set of steadily increasing numbers where each number is equal to the sum of the preceding two numbers.

The table “shows that a miniscule proportion of the number sequences including the short sequence of 1, 2, 3, and 5 are related to Fibonacci sequences,” Cooke writes.

But what's wonderful about the sequence is that it describes itself—and it does it over and over again. Take a look at that run of numbers again, and then ask yourself: How long are the runs of ...