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Integers
Article . 2011 . Peer-reviewed
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The k-Periodic Fibonacci Sequence and an Extended Binet's Formula

The \(k\)-periodic Fibonacci sequence and an extended Binet's formula
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011Publisher:Walter de Gruyter GmbHJournal:Integers, volume 11 (issn: 1867-0652, Copyright policy )
Authors: Marcia Edson; Scott Lewis; Omer Yayenie;

doi: 10.1515/integ.2011.056

The k-Periodic Fibonacci Sequence and an Extended Binet's Formula

Abstract

AbstractIt is well known that a continued fraction is periodic if and only if it is the representation of a quadratic irrational

Related Organizations
Keywords

\(k\)-periodic Fibonacci sequence, generating function, recurrence relation, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci sequence, continued fraction

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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 7
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
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