Trying variants of a simple mathematical rule that yields interesting results can lead to additional discoveries and curiosities. The numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55 belong to a famous ...

Pine cones. Stock-market quotations. Sunflowers. Classical architecture. Reproduction of bees. Roman poetry. What do they have in common? In one way or another, these and many more creations of nature ...

First mapped by a merchant's son in 13th-century Italy, the Fibonacci sequence has become one of the most influential patterns in science, design, and technology. When you think of math, you might ...

In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...

You're probably familiar with Fibonacci series of numbers, first analyzed in a published manuscript by the 13th-century mathematician Leonardo, son of Fibonacci of Pisa (in what is now Italy). The ...