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Pellans sequence and its diophantine triples

Nurettin Irmak Murat Alp

Abstrak

We introduce a novel fourth order linear recurrence sequence {Sn} using the two periodic binary recurrence. We call it ?pellans sequence? and then we solve the system ab+1=Sx, ac+1=Sy bc+1=Sz where a < b < c are positive integers. Therefore, we extend the order of recurrence sequence for this variant diophantine equations by means of pellans sequence.

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Nurettin Irmak

Murat Alp

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Irmak, N., Alp, M. (2016). Pellans sequence and its diophantine triples. https://doi.org/10.2298/pim1614259i

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Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: CrossRef
DOI: 10.2298/pim1614259i
Akses: Terbatas