Results 101 to 110 of about 1,200,406 (213)

On Types of Distance Fibonacci Numbers Generated by Number Decompositions

Journal of Applied Mathematics, 2014
We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the number n we give a sequence of identities for them.
Anetta Szynal-Liana, Andrzej Włoch, Iwona Włoch   +2 more
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Generalized Natural Density DF⁡(Fk) of Fibonacci Word

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, k-Fibonacci words, and their combinatorial properties.
Abdullah, D., Hamoud, J.
doaj   +1 more source

Closed forms for certain fibonacci type sums that involve second order products [PDF]

, 2017
In this paper, we present closed forms for certain finite sums in which the summand is a product of generalized Fibonacci numbers. We present our results in the form of six theorems that feature a generalized Fibonacci sequence {Wn}, and an accompanying ...
Melham, RS
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Variants of the Filbert Matrix

, 2013
A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner.
Kılıç, Emrah, Prodinger, Helmut
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Aspects of fibonacci numbers

, 2016
Cataloged from PDF version of article.
openaire   +2 more sources

Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences

, 2011
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, Berg, Christian   +1 more
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Aspects of Fibonacci numbers [PDF]

, 1994
Cataloged from PDF version of article.Includes bibliographical references leaves 74-76This thesis consists of two parts. The first part, which is Chapter 2, is a survey on some aspects of Fibonacci numbers.
Yücel, Gülnihal
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On a Matrix Formulation of the Sequence of Bi-Periodic Fibonacci Numbers

Axioms
In 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, Elen V. P. Spreafico, Paula Catarino   +2 more
doaj   +1 more source

$$h$$ h -analogue of Fibonacci numbers

The Ramanujan Journal, 2014
21 pages, No ...
openaire   +3 more sources

The Pascal-Fibonacci numbers

, 2013
. The Pascal-Fibonacci (PF) numbers for a given Fibonacci number sum to give the values of that Fibonacci number. Individual PF numbers are members of one of the triangular, tetrahedral or pentagonal series or have factors in common with the pyramidal or
A G Shannon, J V Leyendekkers
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