Results 131 to 140 of about 126,630 (242)
MathematicsThe Fibonacci sequence has broad applications in mathematics, where its inherent patterns and properties are utilized to solve various problems. The sequence often emerges in areas involving growth patterns, series, and recursive relationships.
Ibrahim S. Ibrahim +1 more
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More on the Fibonacci Sequence and Hessenberg Matrices [PDF]
, 2006 Morteza Esmaeili
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Fibonacci Numbers as Sums of Consecutive Terms in $k$-Generalized Fibonacci Sequence [PDF]
arXivLet (F_n^{(k)})_{n\geq -(k-2)} be the k-generalized Fibonacci sequence, defined as the linear recurrence sequence whose first k terms are \(0, 0, \ldots, 0, 1\), and whose subsequent terms are determined by the sum of the preceding k terms. This article is devoted to investigating when the sum of consecutive numbers in the k-generalized Fibonacci ...
arxiv
Matrix Powers of Column-Justified Pascal Triangles and Fibonacci Sequences
, 2000 Rhodes Peele, Pantelimon Stănică
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The intersection of Fibonacci sequences. [PDF]
Michigan Mathematical Journal, 1962 openaire +2 more sources
Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles [PDF]
arXivThis paper first discusses the size and orientation of hat supertiles. Fibonacci and Lucas sequences, as well as a third integer sequence linearly related to the Lucas sequence are involved. The result is then generalized to any aperiodic tile in the hat family.
arxiv
A Representation and Some Properties for $k$-Fibonacci Sequences
, 2001 Gwang-Yeon Lee +2 more
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On a Matrix Formulation of the Sequence of Bi-Periodic Fibonacci Numbers
AxiomsIn this study, we investigate some new properties of the sequence of bi-periodic Fibonacci numbers with arbitrary initial conditions, through an approach that combines the matrix aspect and the fundamental Fibonacci system.
Mustapha Rachidi +2 more
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