Fermatian row and column sums as a family of generalized integers
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.31, no.3, pp.433-442, 2025 (ESCI)
- Publication Type: Article / Article
- Volume: 31 Issue: 3
- Publication Date: 2025
- Doi Number: 10.7546/nntdm.2025.31.3.433-442
- Journal Name: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.433-442
- Open Archive Collection: AVESIS Open Access Collection
- Erzincan Binali Yildirim University Affiliated: Yes
Abstract
In this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated. Another number sequence is obtained from the partial row sums of these numbers and these numbers were examined. At the same time, another polynomial has been defined as a generalization of these numbers, depending on powers of z.