Fermatian row and column sums as a family of generalized integers

---

Shannon A. G., Uysal M., Özkan E.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, cilt.31, sa.3, ss.433-442, 2025 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 31 Sayı: 3
• Basım Tarihi: 2025
• Doi Numarası: 10.7546/nntdm.2025.31.3.433-442
• Dergi Adı: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.433-442
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Marmara Üniversitesi Adresli: Evet

Özet

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.