On the sum of three arbitrary Fibonacci and Lucas numbers
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Bulgarian Acad Science
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we solve the equations L-k = F-n + F-m + F-r,F- F-k = F-n + F-m + F-r, L-k = E-n + L-m + L-r, F-k = E-n + L-m + F-L, for 0 < r <= m <= n and a natural number k. It is shown that only the equation F-k = L-n+ L-m + L-r has a finite number of solutions. The others have infinitely many solutions.
Açıklama
Anahtar Kelimeler
Fibonacci number, Lucas number, Recurrences
Kaynak
Notes on Number Theory and Discrete Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
25
Sayı
4
