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SJAM 3rd National Communication Days of Konya Eregli Kemal Akman Vocational School, 28-29 April 2011,   Special Issue

On the Sums of Powers of k-Fibonacci and k-Lucas Sequences

 Yasin Yazlik, Nazmiye Yilmaz, Necati Taskara

 

 

Selcuk University, Science Faculty Department of Mathematics, 42250, Konya, Turkiye

e-mail: yyazlik@selcuk.edu.tr, nzyilmaz@selcuk.edu.tr, ntaskara@selcuk.edu.tr

   

Abstract. In this study, we investigate some proporties additive of k-Fibonacci and k-Lucas sequences and obtain new identities on sums of powers these sequences.

   

Key words: k-Fibonacci, k-Lucas numbers.

 

2000 Mathematics Subject Classification: 11B39, 11C20.

 

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