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1 result for “Tribonacci Numbers”

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Research ArticleOpen accessPhrase in the titleUnique Representation of Positive Integers as a Sum of Distinct Tribonacci NumbersSalim Badidja, Abdelmadjid BoudaoudLet (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 = … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 16 Mar 2017 · 8,596 accessesView PDFCite