Quasi-fibonacci numbers of order 11

Roman Wituła; Damian Słota

Quasi-fibonacci numbers of order 11

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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.

Original language	English
Article number	07.8.5
Journal	Journal of Integer Sequences
Volume	10
Issue number	8
Publication status	Published - 5 Aug 2007

Keywords

Fibonacci numbers
Primitive roots of unity
Recurrence relation

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Cite this

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title = "Quasi-fibonacci numbers of order 11",

abstract = "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.",

keywords = "Fibonacci numbers, Primitive roots of unity, Recurrence relation",

author = "Roman Witu{\l}a and Damian S{\l}ota",

year = "2007",

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journal = "Journal of Integer Sequences",

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T1 - Quasi-fibonacci numbers of order 11

AU - Wituła, Roman

AU - Słota, Damian

PY - 2007/8/5

Y1 - 2007/8/5

N2 - 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.

AB - 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.

KW - Fibonacci numbers

KW - Primitive roots of unity

KW - Recurrence relation

UR - https://www.scopus.com/pages/publications/34548055583

M3 - Article

AN - SCOPUS:34548055583

SN - 1530-7638

VL - 10

JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

IS - 8

M1 - 07.8.5

ER -

Quasi-fibonacci numbers of order 11

Abstract

Keywords

ASJC Scopus subject areas

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