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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2009 / Volume: 38 Issue: 3

ON QUADRAPELL NUMBERS AND QUADRAPELL POLYNOMIALS

Dursun Tasci
Sayfa
—
Yayın Tarihi
2009-03-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Further we give the generating function, a Binet-like formula and formulae for sums of these numbers.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we define and deal with the quadrapell numbers, D(n), in terms of a linear recurrence relation of order 4, and define the quadrapell polynomials in x.
📊
Temel Bulgular & Veri:In this paper we define and deal with the quadrapell numbers, D(n), in terms of a linear recurrence relation of order 4, and define the quadrapell polynomials in x.
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Sonuç & Katkı:Further we give the generating function, a Binet-like formula and formulae for sums of these numbers.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quadrapell numbers · Quadrapell polynomials · 2000 AMS Classification: 11 B 39

Abstract

In this paper we define and deal with the quadrapell numbers, D(n), in terms of a linear recurrence relation of order 4, and define the quadrapell polynomials in x. Further we give the generating function, a Binet-like formula and formulae for sums of these numbers.

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Bu Makaleye Atıf Yap

Tasci, D. (2009). ON QUADRAPELL NUMBERS AND QUADRAPELL POLYNOMIALS. Hacettepe Journal of Mathematics and Statistics, Volume: 38 Issue: 3. https://ajindex.com/articles/1403741

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Kaynakça (8)

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  2. Harne, S. and Singh, B. Some properties of fourth-order recurrence relations, Vikram Math. J. 20, 79–84, 2000. [4] Horadam, A. F. and Shannon, A. G. Irrational sequence-generated factors of integers, Fi- bonacci Quart. 19 (3), 240–250, 1981.
  3. Horn, R. and Johnson, C. Matrix Analysis (Cambridge University Press, 1985).
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  5. Kilic, E. and Tasci, D. On the second order linear recurrences by tridiagonal matrices, Ars Combin. (to appear).
  6. Koshy, T. Fibonacci and Lucas Numbers with Applications (John Wiley & Sons Inc., 2001). [9] Lee, G. -Y. k-Lucas numbers and associated Bipartite graphs, Linear Algebra and its Appl. 320, 51–61, 2000. [10] Minc, H. Permanents of (0,1)-circulants, Canad. Math. Bull. 7 (2), 253–263, 1964.
  7. Sato, S. On matrix representations of generalized Fibonacci numbers and their applications, in Applications of Fibonacci Numbers, Vol. 5 (St. Andrews, 1992) (Kluwer Acad. Publ., Dordrecht, 1993), 487–496.
  8. Tasci, D. and Kirkland, S. Sequence of upper bounds for the Perron root of nonnegative matrix, Linear Algebra and Its Appl. 273, 23–28, 1998.