Browsing by Author "Luca, Florian"
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Infinite sets of positive integers whose sums are free of powers
Luca, FlorianIn this short note, we construct an infinite set S of positive integers such that for all n ≥ 1 and any n distinct elementsUniversidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. -
Powers of two in generalized fibonacci sequences
Bravo, Jhon J.; Luca, FlorianThe $k-$generalized Fibonacci sequence $\big(F_{n}^{(k)}\big)_{n}$ resembles the Fibonacci sequence in that it starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is the sum of the $k$ preceding terms. In this ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas.