Abstract. We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and m-dimensional recurrence relations. For each integer m, there exist both rational ...

Have you ever heard of the Fibonacci sequence? Or the Golden Ratio? Or the Golden Spiral? These mysterious numbers and shapes are all connected to each other. If you look closely, they can be found in ...

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 ...

Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians. Simple, yes, but ...