An exponential equation involving k-Fibonacci numbers
| dc.contributor.author | Gueye, Alioune | |
| dc.contributor.author | Rıhane, Salah Eddine | |
| dc.contributor.author | Togb, Alain | |
| dc.date.accessioned | 2025-01-06T17:23:32Z | |
| dc.date.available | 2025-01-06T17:23:32Z | |
| dc.date.issued | 2021 | |
| dc.department | Adana Alparslan Türkeş Bilim ve Teknoloji Üniversitesi | |
| dc.description.abstract | For k ? 2, consider the k -Fibonacci sequence (F(k)\rn )n?2?k having initial conditions 0, . . . , 0, 1 (k terms)\rand each term afterwards is the sum of the preceding k terms. Some well-known sequences are special cases of this\rgeneralization. The Fibonacci sequence is a special case of (F(k)\rn )n?2?k with k = 2 and Tribonacci sequence is\r(F(k)\rn )n?2?k with k = 3. In this paper, we use Baker’s method to show that 4, 16, 64, 208, 976, and 1936 are all\rk -Fibonacci numbers of the form (3a ± 1)(3b ± 1), where a and b are nonnegative integers | |
| dc.identifier.doi | 10.3906/mat-2106-86 | |
| dc.identifier.endpage | 2677 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issue | 6 | |
| dc.identifier.startpage | 2664 | |
| dc.identifier.trdizinid | 528511 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-2106-86 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/528511 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14669/797 | |
| dc.identifier.volume | 45 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Turkish Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241211 | |
| dc.title | An exponential equation involving k-Fibonacci numbers | |
| dc.type | Article |
