The k-Periodic Fibonacci Sequence and an Extended Binet's Formula

DOI10.1515/INTEG.2011.056zbMath1239.11017MaRDI QIDQ3108532

Marcia Edson, Omer Yayenie, Scott J. Lewis

Publication date: 4 January 2012

Published in: Integers (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/INTEGERS/papers/l32/l32.pdf

zbMATH Keywords

generating functionrecurrence relationFibonacci sequencecontinued fraction\(k\)-periodic Fibonacci sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

General conditional recurrences ⋮ A generalization of Fibonacci and Lucas quaternions ⋮ On the periods of biperiodic Fibonacci and biperiodic Lucas numbers ⋮ A Method for Uniformly Proving a Family of Identities ⋮ Generalized Fibonacci sequences via orthogonal polynomials ⋮ Unnamed Item ⋮ Products of \(2\times 2\) matrices related to non autonomous Fibonacci difference equations ⋮ SOME PROPERTIES OF THE GENERALIZED FIBONACCI SEQUENCE {q_n} BY MATRIX METHODS ⋮ Unnamed Item

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