{a_(k,n) (τ)}_τ^∞ Genelleştirilmiş Fibonacci Otokorelasyon Dizilerinin Terimlerini İçeren Bazı Bağıntılar

Bu çalışmada terimlerine sahip genelleştirilmiş Fibonacci otokorelasyon dizileri ve bu dizilerin terimlerini içeren bazı toplamlar verildi.

Anahtar Kelimeler:

Fibonacci sayıları, genelleştirilmiş Fibonacci otokorelasyon diziler, toplamlar

Some sums related to the terms of generalized Fibonacci autocorrelation sequences ak n ,  

In this paper, we give the terms of the generalized Fibonacci autocorrelation sequences defined as and some interesting sums involving terms of these sequences for an odd integer number and nonnegative integers .

Keywords:

Fibonacci numbers, generalized Fibonacci autocorrelation sequences, sums,

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[1] E. Kılıç and P. Stanica, "Factorizations and Representations of Second Order Linear Recurrences with Indices in Arithmetic Progressions," Bol. Soc. Mat. Mex. III. Ser.,, vol. 15, no. 1, pp. 23-25, 2009.
[2] P. Filipponi and H.T. Freitag, "Autocorrelation Sequences," The Fibonacci Quarterly, vol. 32, no. 4, pp. 356-368, 1994.
[3] S. Golomb, Shift Register Sequences, Laguna Hills: CA: Aegean Park Press, 1982.
[4] Y. Türker, N. Ömür, E.Kılıç, "Sums of Products of the Terms of the Generalized Lucas Sequence {V_kn }," Hacettepe Journal of Mathematics and Statistics, vol. 4, no. 2, pp. 147-161, 2011.
[5] T. Koshy, Fibonacci and Lucas Numbers with Applications, New York: Pure and Applied Mathematics, Wiley-Interscience, 2001.
[6] S. Vajda, Fibonacci&Lucas Numbers and the Golden Section, New York: John Wiley&Sons, Inc., 1989.