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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 1

General approach in computing sums of products of binary sequences

E KILIÇ
P STANİCA
Pages
1–7
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We propose also an extension where the sequences satisfy di erent recurrences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we nd a general approach to nd closed forms of sums of products of arbitrary sequences satisfying the same recurrence with di erent initial conditions.
📊
Key Findings & Data:We apply successfully our technique to sums of products of such sequences with indices in (arbitrary) arithmetic progressions.
💡
Conclusion & Impact:We propose also an extension where the sequences satisfy di erent recurrences.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we nd a general approach to nd closed forms of sums of products of arbitrary sequences satisfying the same recurrence with di erent initial conditions. We apply successfully our technique to sums of products of such sequences with indices in (arbitrary) arithmetic progressions. It generalizes many results from literature. We propose also an extension where the sequences satisfy di erent recurrences.

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Cite This Article

KILIÇ, E., STANİCA, P. (2022). General approach in computing sums of products of binary sequences. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 1, 1–7. https://ajindex.com/articles/530398

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References (12)

  1. Belbachir H. and Bencherif, F. Sums of products of generalized Fibonacci and Lucas num- bers, Arxiv:0708.2347v1, 2009
  2. Cerin, Z. Sums of products of generalized Fibonacci and Lucas numbers, Demons. Math., 42 (2), 247{258, 2009
  3. Cerin, Z. On Sums of Products of Horadam Numbers, Kyungpook Math. J., 49, 483{492, 2009
  4. Cerin, Z. and Gianella G.M. On sums of squares of Pell-Lucas numbers, Integers 6 A15, 16 pp., 2006
  5. Cerin, Z. Alternating sums of Fibonacci products, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 53 (2), 331{344, 2005
  6. Cerin, Z. Some alternating sums of Lucas numbers, Cent. Eur. J. Math. 3 (1), 1{13, 2005
  7. Klc, E. Sums of the squares of terms of sequence fung, Proc. Indian Acad. Sci. 118 (1), 27{41, 2008
  8. Koshy, T. Fibonacci and Lucas numbers with applications, Pure and Appl. Math., Wiley- Interscience, New York, 2001
  9. Mead, D.G. Problem B-67, Fibonacci Quart. 3 (4), 326{327, 1965
  10. Melham, R.S. On sums of powers of terms in a linear recurrence, Portugal. Math. 56 (4), 501{508, 1999
  11. Rao, K.S. Some properties of Fibonacci numbers, The Amer. Math. Monthly, 60, 680{684, 1953
  12. Vajda, S. Fibonacci & Lucas numbers, and the golden section, John Wiley & Sons, Inc.,New York, 1989.