The Fibonacci sequence is a series of integer numbers beginning with 0 and 1, and each following number is the sum of the two previous numbers. For example, the first 10 elements of the Fibonacci ...

Fibonacci-Problem This Python code calculates the nth Fibonacci number using an iterative method. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, ...

Each successive sum is one less than a Fibonacci number. It’s possible to use square and domino tilings to prove combinatorially that the sum of the first n Fibonacci numbers equals F n +2 – 1.

Fibonacci numbers come up in all sorts of contexts, both natural and mathematical. What about tribonacci numbers and their kin, sometimes called Fibonacci n -step numbers?