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- Title
Sums or products of double factorials in Lucas sequences.
- Authors
Zhang, Shaonan; Yang, Peng; Cai, Tianxin
- Abstract
In this paper, we show that each non-degenerate Lucas sequence contains only finitely many terms which can be written as products of double factorials or as sums or differences of double factorials. In particular, we find all the solutions to the products of double factorials which are sums or differences of two Fibonacci numbers, and Fibonacci numbers which are sums or differences of two double factorials.
- Subjects
LUCAS numbers; ALGEBRAIC numbers; FACTORIALS; VALUATION
- Publication
International Journal of Number Theory, 2024, Vol 20, Issue 8, p1943
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S1793042124500957