As formas e os números da natureza [PDF]
TCC (graduação) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Curso de Matemática.Este trabalho trata de uma pesquisa intitulada: As formas e os números da natureza.O estudo mostrou que a seqüência de Fibonacci está ...
Wilberstaedt, Giorgio
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Powers of Two in Generalized Fibonacci Sequences [PDF]
The k−generalized Fibonacci sequence
Jhon J Bravo +3 more
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Generalized Fibonacci Dynamical Systems
In this paper we consider generalizations of dynamical systems that are based on the Fibonacci sequence. We first study stability properties of such systems for both the continuous and discrete–time case.
Balestrino, A +2 more
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Metrical Combinatorics and the Real Half of the Fibonacci Sequence
William J. Idsardi, Juan Uriagereka
doaj +1 more source
Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences
We prove that certain sequences of finite continued fractions associated with a 2-periodic continued fraction with period a,b > 0 are moment sequences of discrete signed measures supported in the interval [−1,1], and we give necessary and sufficient ...
Durán Guardeño, Antonio José +1 more
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The p-adic valuation of Lucas sequences
Let (un)n≥0 be a nondegenerate Lucas sequence with characteristic polynomial X2 − aX − b, for some relatively prime integers a and b. For each prime number p and each positive integer n, we give simple formulas for the p-adic valuation νp(un), in terms ...
Sanna, Carlo
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A Retrospective Radiographic Study of Metacarpal and Phalangeal Length Proportions: Testing the Golden Ratio, Fibonacci, and Lucas Models. [PDF]
Singh S, Wong KY, Zafiropoulos G.
europepmc +1 more source
COMPLAX: A Python Tool Package for Automated Microsolvation of Organic Molecules. [PDF]
Lauria F, Maranzana A.
europepmc +1 more source
Spatial-Temporal Relation Enhancement for Speech Emotion Recognition from Acoustic Signals Using Fibonacci Encoding with Diverse Feature Fusion. [PDF]
Huang S +9 more
europepmc +1 more source
Binomial Sums Involving Second-Order Linearly Recurrent Sequences
Consider the sequences ( U-n : n is an element of N-0 ) and ( V-n : n is an element of N) satisfying the second order linear recurrences U-n = pU(n-1) + Un-2 and V-n = pV (n-1) + Vn-2 with the initial conditions U-0 = 0, U-1 = 1, V-0 = 2, and V-1 = p. We
Kılıç, Emrah, Campbell, John m.
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