Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772636 | Journal of Number Theory | 2017 | 13 Pages |
Abstract
In this paper we focus on finding all the factorials expressible as a product of a fixed number of 2k-nacci numbers with kâ¥2. We derive the 2-adic valuation of the 2k-nacci sequence and use it to establish bounds on the solutions of the initial equation. In addition, we specify a more general family of sequences, for which we can perform a similar procedure. We also investigate a possible connection of these results with p-regular sequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bartosz Sobolewski,