Factorial-like values in the balancing sequence
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Osijek, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we solve a few Diophantine equations linked to balancing numbers and factorials. The basic problem consists of solving the equation B-y = x! in positive integers x, y, which has only one nontrivial solution B-2 = 6 = 3!, as a direct consequence of the theorem of F. Luca [5]. A more difficult problem is to solve B-y = x(2)!/x(1)!, but we were able to handle it under some conditions. Two related problems are also studied.
Açıklama
Anahtar Kelimeler
Factorials, balancing numbers, diophantine equation
Kaynak
Mathematical Communications
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
23
Sayı
2
