In this study, previously obtained cobalancing numbers are considered from a different perspective, and the properties of the numbers are re-examined. The main purpose is to change the recurrence relation of cobalancing numbers and calculate some relations and properties in a more diverse and easier way. The reason that led us to this method is that the recurrence relation of cobalancing numbers has a second-order but non-homogeneous difference equations. Thus, it will be much easier to find the Binet formula, generating function, sum formulas, and many other relations with a sequence that is homogeneous and has a third-degree recurrence relation. Also some identities that have not been found before in the sequence are also included in this study.
Binet formulas Cobalancing numbers Third-order recurrence relations
Birincil Dil | İngilizce |
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Konular | Temel Matematik (Diğer) |
Bölüm | Articles |
Yazarlar | |
Erken Görünüm Tarihi | 5 Şubat 2024 |
Yayımlanma Tarihi | 4 Mart 2024 |
Gönderilme Tarihi | 23 Kasım 2023 |
Kabul Tarihi | 9 Ocak 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 1 |
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