Pellian sequences and squares

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dc.contributor.author Leyendekkers, J
dc.contributor.author Shannon, AG
dc.date.accessioned 2014-04-03T01:22:09Z
dc.date.issued 2012-01
dc.identifier.citation Notes on Intuitionistic Fuzzy Sets, 2012, 18 (4), pp. 7 - 10
dc.identifier.issn 1310-5132
dc.identifier.other C1 en_US
dc.identifier.uri http://hdl.handle.net/10453/22773
dc.description.abstract Elements of the Pell sequence satisfy a class of second order linear recurrence relations which interrelate a number of integer properties, such as elements of the rows of even and odd squares in the modular ring Z4. Integer Structure Analysis of this yields multiple-square equations exemplified by primitive Pythagorean triples, the Hoppenot equation and the equation for a sphere centred at the origin. The structure breaks down for higher powered triples so that solutions are blocked. However, Eulers extension of Fermats Last Theorem does not work as the structure does permit multiple power equations such as a 5 + b 5 + c 5 + d 5 = e 5
dc.format Scott McWhirter
dc.publisher NNTM
dc.relation.isbasedon 10.1016/j.endm.2013.07.006
dc.title Pellian sequences and squares
dc.type Journal Article
dc.parent Notes on Intuitionistic Fuzzy Sets
dc.journal.volume 4
dc.journal.volume 18
dc.journal.number 4 en_US
dc.publocation Bulgaria en_US
dc.identifier.startpage 7 en_US
dc.identifier.endpage 10 en_US
dc.cauo.name SCI.Faculty of Science en_US
dc.conference Verified OK en_US
dc.for 0101 Pure Mathematics
dc.personcode 701914
dc.percentage 100 en_US
dc.classification.name Pure Mathematics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords Modular rings, Integer structure analysis, Pellian sequences, Pythagorean triples, Triangular numbers, Pentagonal numbers. en_US
dc.description.keywords Modular rings, Integer structure analysis, Pellian sequences, Pythagorean triples, Triangular numbers, Pentagonal numbers.
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Science
utslib.copyright.status Closed Access
utslib.copyright.date 2015-04-15 12:17:09.805752+10
utslib.collection.history Closed (ID: 3)


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