Results 111 to 120 of about 12,719 (235)

On the Andrews Congruence for the Fibonacci Quotient [PDF]

, 2015
We show that a congruence discovered by George E. Andrews in 1969 for the Fibonacci quotient directly implies a simpler congruence found by Hugh C.
Dobson, John Blythe
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On the arrowhead-Fibonacci numbers

Open Mathematics, 2016
In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties.
Gültekin Inci, Deveci Ömür
doaj   +1 more source

Fun with Fibonacci [PDF]

, 2014
We introduce a function which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that can take and reveal some interesting patterns.
John E Baker, Steve Sugden
core   +1 more source

More on combinations of higher powers of fibonacci numbers [PDF]

, 2010
The Fibonacci Identity F n4-F n+14-F n+24-F n+34+F n+44=F 2n+42 belongs to a family of indentities where each indentity contains only one product of the right side. In this paper we give this family together with two other such familes. We also state two
Melham, RS
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On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations

Mathematics
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics.
Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu   +2 more
doaj   +1 more source

As formas e os números da natureza [PDF]

, 2004
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 in a class of A-strict standard episturmian words

, 2007
This paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic Sturmian words. In particular, we explicitly determine all integer powers occurring in such infinite words, extending recent ...
Glen, Amy, Glen, A.
core   +2 more sources

La tradizione manoscritta del Liber Abaci di Leonardo Pisano, detto il Fibonacci

, 2018
L'intervento fornisce una descrizione dei rapporti stemmatici dei testimoni noti del Liber ...
Nicoletta Rozza
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Look and Say Fibonacci

RAIRO - Theoretical Informatics and Applications, 2008
Summary: The \(LS\) (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, \(LS\)(1 1 2 3 3) = 2 1 1 2 2 3 (two 1, one 2, two 3). We start the study of the behaviour of binary words generated by morphisms under the \(LS\) operator, focusing in ...
openaire   +1 more source

Circulants and the factorization of the Fibonacci–like numbers [PDF]

, 2006
summary:Several authors gave various factorizations of the Fibonacci and Lucas numbers. The relations are derived with the help of connections between determinants of tridiagonal matrices and the Fibonacci and Lucas numbers using the Chebyshev ...
Trojovský, Pavel, Seibert, Jaroslav
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