Journal of Integer Sequences, Vol. 18 (2015), Article 15.8.2

A Note on Catalan's Identity for the k-Fibonacci Quaternions


Emrah Polatlı and Seyhun Kesim
Department of Mathematics
Bülent Ecevit University
67100 Zonguldak
Turkey

Abstract:

Ramírez recently conjectured a version of Catalan’s identity for the k-Fibonacci quaternions. In this note we give a proof of (a suitably reformulated version of) this identity.


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Received May 18 2015; revised version received May 20 2015; June 18 2015; June 24 2015. Published in Journal of Integer Sequences, July 16 2015.


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