Extending generalized Fibonacci sequences and their Binet-type formula

Mustapha Rachidi; Osamu Saeki

doi:10.1155/ADE/2006/23849

Extending generalized Fibonacci sequences and their Binet-type formula

Mustapha Rachidi, Osamu Saeki

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study the extension problem of a given sequence defined by a finite order recurrence to a sequence defined by an infinite order recurrence with periodic coefficient sequence. We also study infinite order recurrence relations in a strong sense and give a complete answer to the extension problem. We also obtain a Binet-type formula, answering several open questions about these sequences and their characteristic power series.

Original language	English
Article number	23849
Journal	Advances in Difference Equations
Volume	2006
DOIs	https://doi.org/10.1155/ADE/2006/23849
Publication status	Published - Oct 13 2006

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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abstract = "We study the extension problem of a given sequence defined by a finite order recurrence to a sequence defined by an infinite order recurrence with periodic coefficient sequence. We also study infinite order recurrence relations in a strong sense and give a complete answer to the extension problem. We also obtain a Binet-type formula, answering several open questions about these sequences and their characteristic power series.",

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AB - We study the extension problem of a given sequence defined by a finite order recurrence to a sequence defined by an infinite order recurrence with periodic coefficient sequence. We also study infinite order recurrence relations in a strong sense and give a complete answer to the extension problem. We also obtain a Binet-type formula, answering several open questions about these sequences and their characteristic power series.

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JO - Advances in Difference Equations

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Extending generalized Fibonacci sequences and their Binet-type formula

Abstract

All Science Journal Classification (ASJC) codes

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