More on combinations of higher powers of fibonacci numbers

Melham, RS

More on combinations of higher powers of fibonacci numbers

Melham, RS

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Publication Type:: Journal Article
Citation:: Fibonacci Quarterly, 2010, 48 (4), pp. 307 - 311
Issue Date:: 2010-11-01

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Field	Value	Language
dc.contributor.author	Melham, RS	en_US
dc.date.issued	2010-11-01	en_US
dc.identifier.citation	Fibonacci Quarterly, 2010, 48 (4), pp. 307 - 311	en_US
dc.identifier.issn	0015-0517	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14512
dc.description.abstract	The Fibonacci Identity F n4-F n+14-F n+24-F n+34+F n+44=F 2n+42 belongs to a family of indentities where each indentity contains only one product of the right side. In this paper we give this family together with two other such familes. We also state two conjectures that give the form of similar identities. Finally, we give the expansions of L n2m and F n2m in terms of Lucas numbers with even subscripts.	en_US
dc.relation.ispartof	Fibonacci Quarterly	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	More on combinations of higher powers of fibonacci numbers	en_US
dc.type	Journal Article
utslib.citation.volume	4	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	4	en_US
pubs.publication-status	Published	en_US
pubs.volume	48	en_US

Abstract:

The Fibonacci Identity F n4-F n+14-F n+24-F n+34+F n+44=F 2n+42 belongs to a family of indentities where each indentity contains only one product of the right side. In this paper we give this family together with two other such familes. We also state two conjectures that give the form of similar identities. Finally, we give the expansions of L n2m and F n2m in terms of Lucas numbers with even subscripts.

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http://hdl.handle.net/10453/14512