H-Nacci Sequence and Its Role in Virus Mutation

Abstract

In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation. After that, we determined the golden ratio for each type of H-Nacci sequence, which also coincided with an existing Fibonacci sequence. As each Fibonacci sequence has a unique advantage, first of all, we have applied the H-Nacci sequence to the virus mutation process to show the key benefits of the H-Nacci sequence, and then we found the Fibonacci risk model to analyze the risk factor of each mutant virus using the H-Nacci sequence.