A note on brousseau’s summation problem

Ollerton, RL; Shannon, AG

A note on brousseau’s summation problem

Ollerton, RL Shannon, AG

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Publication Type:: Journal Article
Citation:: Fibonacci Quarterly, 2021, 58, (5), pp. 190-199
Issue Date:: 2021-12-01

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Field	Value	Language
dc.contributor.author	Ollerton, RL
dc.contributor.author	Shannon, AG
dc.date.accessioned	2022-06-20T05:28:27Z
dc.date.available	2022-06-20T05:28:27Z
dc.date.issued	2021-12-01
dc.identifier.citation	Fibonacci Quarterly, 2021, 58, (5), pp. 190-199
dc.identifier.issn	0015-0517
dc.identifier.uri	http://hdl.handle.net/10453/158263
dc.description.abstract	This paper takes a historical view of some long-standing problems associated with the development of sums of Fibonacci numbers in which the latter have powers of integers as coefficients. The sequences of coefficients of these polynomials are arrayed in matrices with links to The On-Line Encyclopedia of Integer Sequences. This is an extension of previous work on the summation problem of Ledin because Brousseau introduced some elegant techniques for contracting the summations and the papers of both authors link with some interesting matrices.
dc.language	en
dc.relation.ispartof	Fibonacci Quarterly
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0101 Pure Mathematics, 0103 Numerical and Computational Mathematics, 0199 Other Mathematical Sciences
dc.subject.classification	General Mathematics
dc.title	A note on brousseau’s summation problem
dc.type	Journal Article
utslib.citation.volume	58
utslib.for	0101 Pure Mathematics
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0199 Other Mathematical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	open_access	*
dc.date.updated	2022-06-20T05:28:24Z
pubs.issue	5
pubs.publication-status	Published
pubs.volume	58
utslib.citation.issue	5

Abstract:

This paper takes a historical view of some long-standing problems associated with the development of sums of Fibonacci numbers in which the latter have powers of integers as coefficients. The sequences of coefficients of these polynomials are arrayed in matrices with links to The On-Line Encyclopedia of Integer Sequences. This is an extension of previous work on the summation problem of Ledin because Brousseau introduced some elegant techniques for contracting the summations and the papers of both authors link with some interesting matrices.

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http://hdl.handle.net/10453/158263