About this Journal Submit a Manuscript Table of Contents
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 941673, 7 pages
http://dx.doi.org/10.1155/2013/941673
Research Article

Matrix Sequences in terms of Padovan and Perrin Numbers

Department of Mathematics, Faculty of Science, Selcuk University, Campus, 42075 Konya, Turkey

Received 5 June 2013; Revised 29 August 2013; Accepted 13 September 2013

Academic Editor: Debasish Roy

Copyright © 2013 Nazmiye Yilmaz and Necati Taskara. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Falcón and A. Plaza, “On the Fibonacci k-numbers,” Chaos, Solitons & Fractals, vol. 32, no. 5, pp. 1615–1624, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  2. T. Koshy, Fibonacci and Lucas Numbers with Applications, John Wiley & Sons, New York, NY, USA, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  3. A. G. Shannon, P. G. Anderson, and A. F. Horadam, “Properties of Cordonnier, Perrin and van der Laan numbers,” International Journal of Mathematical Education in Science and Technology, vol. 37, no. 7, pp. 825–831, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. Y. Yazlik and N. Taskara, “A note on generalized k-Horadam sequence,” Computers & Mathematics with Applications, vol. 63, no. 1, pp. 36–41, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  5. H. Civciv and R. Türkmen, “On the (s,t)-Fibonacci and Fibonacci matrix sequences,” Ars Combinatoria, vol. 87, pp. 161–173, 2008. View at MathSciNet
  6. H. H. Gulec and N. Taskara, “On the (s,t)-Pell and (s,t)-Pell-Lucas sequences and their matrix representations,” Applied Mathematics Letters, vol. 25, no. 10, pp. 1554–1559, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  7. Y. Yazlik, N. Taskara, K. Uslu, and N. Yilmaz, “The Generalized (s,t)-Sequence and its Matrix Sequence,” AIP Conference Proceedings, vol. 1389, pp. 381–384, 2012.
  8. L. Marek-Crnjac, “On the mass spectrum of the elementary particles of the standard model using El Naschie's golden field theory,” Chaos, Solitons and Fractals, vol. 15, no. 4, pp. 611–618, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. L. Marek-Crnjac, “The mass spectrum of high energy elementary particles via El Naschie's () golden mean nested oscillators, the Dunkerly-Southwell eigenvalue theorems and KAM,” Chaos, Solitons and Fractals, vol. 18, no. 1, pp. 125–133, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. A. G. Shannon and A. F. Horadam, “Generating functions for powers of third order recurrence sequences,” Duke Mathematical Journal, vol. 38, pp. 791–794, 1971. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet