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:
