On certain combinations of higher powers of Fibonacci numbers

Melham, RS

On certain combinations of higher powers of Fibonacci numbers

Melham, RS

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Publication Type:: Journal Article
Citation:: Fibonacci Quarterly, 2010, 48 (3), pp. 256 - 259
Issue Date:: 2010-08-01

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Field	Value	Language
dc.contributor.author	Melham, RS	en_US
dc.date.issued	2010-08-01	en_US
dc.identifier.citation	Fibonacci Quarterly, 2010, 48 (3), pp. 256 - 259	en_US
dc.identifier.issn	0015-0517	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14475
dc.description.abstract	We present identities that we feel can be regarded as higher order analogues of the well-known identity F 2n + F 2n+l =F 2n+1. We give three theorems corresponding to the powers 4, 6, and 8. We also state two conjectures that give the form of similar identities that involve higher powers.	en_US
dc.relation.ispartof	Fibonacci Quarterly	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	On certain combinations of higher powers of Fibonacci numbers	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	48	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0199 Other Mathematical Sciences	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	open_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	48	en_US

Abstract:

We present identities that we feel can be regarded as higher order analogues of the well-known identity F 2n + F 2n+l =F 2n+1. We give three theorems corresponding to the powers 4, 6, and 8. We also state two conjectures that give the form of similar identities that involve higher powers.

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http://hdl.handle.net/10453/14475