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Dergiler / Mathematical and Computational Applications / 2014 / Cilt: 19 - Sayı: 3

On the pentanaccı numbers

Tuğba SARIŞAHİN
AYŞE NALLI
Sayfa
255–262
DOI
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Furthermore, we construct generating matrix for $𝑃_{6𝑛},$ $S_{6𝑛}.$ Finally, we represent relationships between Pentanacci sequence and permanents of certain matrices.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we give recurrence relation obtained by using from [1] for Pentanacci sequence.
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Temel Bulgular & Veri:In this paper, we give recurrence relation obtained by using from [1] for Pentanacci sequence.
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Sonuç & Katkı:Furthermore, we construct generating matrix for $𝑃_{6𝑛},$ $S_{6𝑛}.$ Finally, we represent relationships between Pentanacci sequence and permanents of certain matrices.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we give recurrence relation obtained by using from [1] for Pentanacci sequence. Furthermore, we construct generating matrix for $𝑃_{6𝑛},$ $S_{6𝑛}.$ Finally, we represent relationships between Pentanacci sequence and permanents of certain matrices.

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Bu Makaleye Atıf Yap

SARIŞAHİN, T., NALLI, A. (2014). On the pentanaccı numbers. Mathematical and Computational Applications, Cilt: 19 - Sayı: 3, 255–262. https://ajindex.com/articles/279779

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Kaynakça (8)

  1. T. Parpar and A. Nalli, On The Recursive Sequence Order-k, Ars Combinatoria105, 257-265, 2012
  2. E. Kilic and D. Tasci, The Generalized Binet Formula, Representation and Sums of the Generalized Order-k Pell Lucas, Taiwanese Journal of Mathematics6, 1661-1670, 2006
  3. J. Feng, More Identities on the Tribonacci Numbers,Ars Combinatoria100, 73- 78, 2011
  4. E. Kilic, Tribonacci Sequence with Certain Indices and Their Sums, Ars Combinatoria86, 13-22, 2008
  5. E. Kilic and D. Tasci, On The Permanents of Some Tridiagonal Matrices with Applications To The Fibonacci And Lucas Numbers, Rocky Mountain Journal of Mathematics37(6), 58-67, 2007
  6. T. Parpar, Properties of The Recursive Sequence Order-k and Its Some Applications, The Graduate School of Natural and Applied Science of Selcuk University Department of Mathematics, 2011
  7. T. Koshy, Fibonacci and Lucas Numbers with Applications, A Wiley Interscience Publication, 2001
  8. J. Lachance, Inbreeding, Pedigree Size, and the Most Recent Common Ancestor of Humanity, Journal of Theoretical Biology261, 238-247, 2009.