In this paper, we consider the usual Lucas numbers and the generalized order-k Fibonacci numbers. Then we give a new definition for generalization of the Lucas numbers. Therefore, we give the ...

https://doi.org/10.4169/college.math.j.48.2.97 https://www.jstor.org/stable/10.4169/college.math.j.48.2.97 Hong recently explored when the value of the generating ...

The Fibonacci sequence is a mathematical concept that has been around for centuries. Named after Italian mathematician Leonardo of Pisa, also known as Fibonacci, the sequence is derived by adding the ...

Learn about the origins of the Fibonacci sequence, its relationship with the golden ratio and common misconceptions about its significance in nature and architecture. When you purchase through links ...

The year 1202 saw the publication of one of the most famous and influential books in mathematics. Widely copied and imitated, Liber abaci introduced the use of Arabic numerals and the Hindu-Arabic ...

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

Your teacher was right – math is everywhere, and it turns out that even whales use it. Stunning drone video has captured two massive humpback whales in Antarctica creating a Fibonacci spiral, ...