Décomposition d’entiers illimités et des termes d’ordre illimités des suites récurrentes linéaires

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Date

2018-02-01

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Université de M'sila

Abstract

The representation of a positive integer N by a sum of elements of agiven sequence Is an interesting problem which is wellknown in the mathematical literature, namely the Unique representation as a sum of distinct Lucas numbers(Brown,Jr,1969),Fibonacci and Lucas representation (Pihko,1986),Cantor’s development(Mercier,2004),....In addition, In the framework of the non standard analysis, A. Boudaoud proposed another method of representation of N; It is to write it according to the following model:

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