@article {10.3844/jmssp.2017.57.61,
article_type = {journal},
title = {Unique Representation of Positive Integers as a Sum of Distinct Tribonacci Numbers},
author = {Badidja, Salim and Boudaoud, Abdelmadjid},
volume = {13},
year = {2017},
month = {Mar},
pages = {57-61},
doi = {10.3844/jmssp.2017.57.61},
url = {https://thescipub.com/abstract/jmssp.2017.57.61},
abstract = {Let (Tm)m≥1 be the tribonacci sequence. We show that every integer N ≥ 1 can be written as a sum of the terms αm Tm, where m runs over the set of strictly positive integers and αm   (m ≥ 1) are either 1 or 0. The previous representation of N is unique if each time that we have αm  = 1 then at least the two coefficients  directly following αm are zero, i.e., αm+1 = αm+2 = 0.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}