Journal of Integer Sequences, Vol. 10 (2007), Article 07.5.3

Some Generalized Fibonacci Polynomials


Mark A. Shattuck
Mathematics Department
University of Tennessee
Knoxville, TN 37996-1300
USA

Carl G. Wagner
Mathematics Department
University of Tennessee
Knoxville, TN 37996-1300
USA

Abstract:

We introduce polynomial generalizations of the r-Fibonacci, r-Gibonacci, and r-Lucas sequences which arise in connection with two statistics defined, respectively, on linear, phased, and circular r-mino arrangements.

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(Concerned with sequences A000045 and A000204 .)

Received February 20 2007; revised version received May 7 2007. Published in Journal of Integer Sequences, May 7 2007.

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