Journal of Integer Sequences, Vol. 22 (2019), Article 19.4.1

A Graph-Theoretic Model for a Generalized Fibonacci Gem

Thomas Koshy
Department of Mathematics
Framingham State University
Framingham, MA 01701


We extend a charming Fibonacci pleasantry to Fibonacci, Lucas, Jacobsthal, and Jacobsthal-Lucas polynomials; and then confirm the resulting polynomial delights using graph-theoretic tools.

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(Concerned with sequences A000032 A000045 A000129 A001045 A002203 A014551.)

Received June 1 2018; revised versions received August 24 2018; February 24 2019; February 25 2019. Published in Journal of Integer Sequences, May 22 2019.

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