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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 10, 2017

Binomials transformation formulae of scaled Lucas numbers

  • Roman Wituła EMAIL logo
From the journal Demonstratio Mathematica

Abstract

The current paper represents a suplement for papers [7] and [8]. Many of the new summation formulae connecting Lucas numbers with binomials are presented here. All these relations are obtained by using definition and simple properties of the so called δ-Lucas numbers.

MSC 2010: 11B39; 11B83

References

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[5] T. Koshy, Fibonacci and Lucas Numbers with Application, Wiley, New York, 2001.10.1002/9781118033067Search in Google Scholar

[6] S. Vajda, Fibonacci and Lucas numbers and the Golden Section: Theory and Applications, Dover Press, 2008.Search in Google Scholar

[7] R. Wituła, Binomials transformation formulae of scaled Fibonacci numbers, Fibonacci Quart. (in review).Search in Google Scholar

[8] R. Wituła, D. Słota, δ-Fibonacci numbers, Appl. Anal. Discrete Math. 3 (2009), 310–329.10.2298/AADM0902310WSearch in Google Scholar

Received: 2011-3-23
Revised: 2011-6-18
Published Online: 2017-5-10
Published in Print: 2013-3-1

© 2013 Roman Wituła, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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