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

Yıl 2017, , 307 - 313, 01.06.2017

Neşe Ömür Sibel Koparal

https://doi.org/10.16984/saufenbilder.283844

Öz

 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 ,  

Öz

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 .

Anahtar Kelimeler

Fibonacci numbers, generalized Fibonacci autocorrelation sequences, sums

Kaynakça

• [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.