Complementary Families of the Fibonacci-Lucas Relations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2015Embargo end date: 01 Jan 2015 Croatia Publisher:arXivJournal:Integers, volume 19

Authors: Ivica Martinjak; Helmut Prodinger;

doi: 10.48550/arxiv.1508.04949

arXiv: 1508.04949

Complementary Families of the Fibonacci-Lucas Relations

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Abstract

In this paper we present two families of Fibonacci-Lucas identities, with the Sury's identity being the best known representative of one of the families. While these results can be proved by means of the basic identity relating Fibonacci and Lucas sequences we also provide a bijective proof. Both families are then treated by generating functions.

9 pages, 2 figures

Country

Croatia

Keywords

Mathematics - Number Theory, Fibonacci sequence, Sury identity, tilings, FOS: Mathematics, 11B39, 11B37, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), Fibonacci-Lucas relations

7 Research products, page 1 of 1

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