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 ...

You will need to be confident with arithmetic sequences and the 𝑛th term rule to understand these other types of sequences. A geometric sequence contains numbers that are multiplied by a certain ...

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 ...