Construction of Nonlinear Expression for Recursive Number Sequences

Research output: Journal ArticleArticlepeer-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 languageAmerican English
JournalJournal of Mathematical Research with Applications
Volume35
DOIs
StatePublished - Sep 2015

Keywords

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

Disciplines

  • Physical Sciences and Mathematics
  • Applied Mathematics

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