On Finite Sums of Good and Shar that involve Reciprocals of Fibonacci Numbers

Melham, R

On Finite Sums of Good and Shar that involve Reciprocals of Fibonacci Numbers

Melham, R

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Publisher:: State University of West Georgia
Publication Type:: Journal Article
Citation:: Integers, 2012, 12
Issue Date:: 2012-01

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Field	Value	Language
dc.contributor.author	Melham, R	en_US
dc.date.issued	2012-01	en_US
dc.identifier.citation	Integers, 2012, 12	en_US
dc.identifier.issn	1553-1732	en_US
dc.identifier.uri	http://hdl.handle.net/10453/29886
dc.description.abstract	Recently Nathaniel Shar presented a finite sum, involving the Fibonacci numbers, that generalizes a classical result first considered by I. J. Good and others. In this paper we provide a generalization of Shars sum. Furthermore, we give an analogue for the Lucas numbers. Finally we note that our generalization of Shars sum and its analogue for the Lucas numbers carry over to certain one parameter generalizations of the Fibonacci and Lucas numbers.	en_US
dc.publisher	State University of West Georgia	en_US
dc.relation.ispartof	Integers	en_US
dc.title	On Finite Sums of Good and Shar that involve Reciprocals of Fibonacci Numbers	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.volume	12	en_US

Abstract:

Recently Nathaniel Shar presented a finite sum, involving the Fibonacci numbers, that generalizes a classical result first considered by I. J. Good and others. In this paper we provide a generalization of Shars sum. Furthermore, we give an analogue for the Lucas numbers. Finally we note that our generalization of Shars sum and its analogue for the Lucas numbers carry over to certain one parameter generalizations of the Fibonacci and Lucas numbers.

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http://hdl.handle.net/10453/29886