Construction of Nonlinear Expression for Recursive Number Sequences

Tian-Xiao He

doi:10.3770

Construction of Nonlinear Expression for Recursive Number Sequences

Tian-Xiao He

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

Abstract

A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [9]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2, we may transfer the identities of Lucas sequences to the latter.

Original language	American English
Journal	Journal of Mathematical Research with Applications
Volume	35
DOIs	https://doi.org/10.3770
State	Published - Sep 2015

Keywords

Fibonacci numbers
Jacobsthal numbers
Lucas numbers
Pell numbers
impulse response sequence
linear recurrence relation

Disciplines

Physical Sciences and Mathematics
Applied Mathematics

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Cite this

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title = "Construction of Nonlinear Expression for Recursive Number Sequences",

abstract = " A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [9]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2, we may transfer the identities of Lucas sequences to the latter.",

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author = "Tian-Xiao He",

year = "2015",

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language = "American English",

volume = "35",

journal = "Journal of Mathematical Research with Applications",

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AB - A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [9]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2, we may transfer the identities of Lucas sequences to the latter.

KW - Fibonacci numbers

KW - Jacobsthal numbers

KW - Lucas numbers

KW - Pell numbers

KW - impulse response sequence

KW - linear recurrence relation

U2 - 10.3770

DO - 10.3770

M3 - Article

VL - 35

JO - Journal of Mathematical Research with Applications

JF - Journal of Mathematical Research with Applications

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