Journal of Integer Sequences, Vol. 10 (2007), Article 07.8.5

Quasi-Fibonacci Numbers of Order 11

Roman Wituła and Damian Słota
Institute of Mathematics
Silesian University of Technology
Kaszubska 23
Gliwice 44-100


In this paper we introduce and investigate the so-called quasi-Fibonacci numbers of order 11 . These numbers are defined by five conjugate recurrence equations of order five. We study some relations and identities concerning these numbers. We present some applications to the decomposition of some polynomials. Many of the identities presented here are the generalizations of the identities characteristic for general recurrence sequences of order three given by Rabinowitz.

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(Concerned with sequence A062883.)

Received December 9 2006; revised version received August 3 2007. Published in Journal of Integer Sequences, August 14 2007.

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