Generalization of Cassini formulas for balancing and Lucasbalancing numbers 

Author 
prasanta@iiitbh.ac.in, parida.kaberi@gmail.com
National Institute of Technology, Rourkela, India

Abstract 
The mathematical identity that connects three adjacent balancing numbers is well known
under the name Cassini formula, and is used to establish many important identities involving
balancing numbers and their related sequences. This article is an attempt to draw attention to
some of the unusual properties of generalized balancing numbers, in particular, to the general
ized Cassini formula.

Keywords 
balancing numbers; Lucasbalancing numbers; Cassini formula

Reference 
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Pages 
914

Volume 
42

Issue 
1

Year 
2014

Journal 
Matematychni Studii

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