Pell–Padovan-circulant sequences and their applications

Shannon, AG; Deveci, Ö

Pell–Padovan-circulant sequences and their applications

Shannon, AG

Deveci, Ö

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Publisher:: NNTDM
Publication Type:: Journal Article
Citation:: Notes on Number Theory and Discrete Mathematics, 2017, 23 (3), pp. 100 - 114
Issue Date:: 2017

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Field	Value	Language
dc.contributor.author	Shannon, AG https://orcid.org/0000-0003-0116-0666	en_US
dc.contributor.author	Deveci, Ö	en_US
dc.date.issued	2017	en_US
dc.identifier.citation	Notes on Number Theory and Discrete Mathematics, 2017, 23 (3), pp. 100 - 114	en_US
dc.identifier.issn	1310-5132	en_US
dc.identifier.uri	http://hdl.handle.net/10453/125571
dc.description.abstract	This paper develops properties of recurrence sequences defined from circulant matrices obtained from the characteristic polynomial of the Pell-Padovan sequence. The study of these sequences modulo m yields cyclic groups and semigroups from the generating matrices. Finally, we obtain the lengths of the periods of the extended sequences in the extended triangle groups E(2, n, 2), E(2, 2, n) and E(n, 2, 2) for n ≥ 3 as applications of the results obtained.	en_US
dc.publisher	NNTDM	en_US
dc.relation.ispartof	Notes on Number Theory and Discrete Mathematics	en_US
dc.title	Pell–Padovan-circulant sequences and their applications	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	23	en_US
utslib.for	0103 Numerical and Computational 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 Engineering and Information Technology
utslib.copyright.status	closed_access
pubs.consider-herdc	true	en_US
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	23	en_US

Abstract:

This paper develops properties of recurrence sequences defined from circulant matrices obtained from the characteristic polynomial of the Pell-Padovan sequence. The study of these sequences modulo m yields cyclic groups and semigroups from the generating matrices. Finally, we obtain the lengths of the periods of the extended sequences in the extended triangle groups E(2, n, 2), E(2, 2, n) and E(n, 2, 2) for n ≥ 3 as applications of the results obtained.

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http://hdl.handle.net/10453/125571