On the a New Family of k-Fibonacci Numbers

Öz

In this paper, it was showed that Fibonacci sequences {F_n^((k,p))} of a new family defined in [10] are a simply periodic sequences according to modulo p. We give some relationship between the family and ordinary Fibonacci numbers. Also, we prove some theorems concerning a new family and Lucas numbers.

Öz

Bu çalışmada, (Mikkawy ve Sogabe, 2010) çalışmasında tanımlanan yeni bir ailenin, { ( )} Fibonacci dizilerinin moduna göre basit periyodik diziler olduğu gösterildi. Yeni aile ve bilinen Fibonacci sayıları arasındaki bazı ilişkileri verdik. Ayrıca, yeni aile ve Lucas sayıları ile ilgili bazı teoremleri ispatladık

Anahtar Kelimeler

• Fibonacci sayıları, Lucas sayıları, Periyot

Kaynakça

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