Quasi-Fibonacci Numbers of Order 11
Roman Wituła and Damian Słota
Institute of Mathematics
Silesian University of Technology
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.
Full version: pdf,
(Concerned with sequence
Received December 9 2006;
revised version received August 3 2007.
Published in Journal of Integer Sequences, August 14 2007.
Journal of Integer Sequences home page