Results 21 to 30 of about 3,254,389 (231)
On the Smarandache sequences [PDF]
, 2008 In this paper, one uses the elementary method to study the convergence of the Smarandache alternate consecutive, reverse Fibonacci sequence and Smarandache multiple ...
Yang, Yanting
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On ideal convergence Fibonacci difference sequence spaces
Advances in Difference Equations, 2018 The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl.
Vakeel A. Khan +4 more
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Generalized Fibonacci-like sequence and Fibonacci sequence
International Journal of Contemporary Mathematical Sciences, 2014 Every term in the Fibonacci Sequence can be determined recursively with the help of initial values F0 = 0, F1 = 1. Similar is the case with Lucas Sequence. In this paper, we study Generalized Fibonacci-Like sequence {Dn} defined by the recurrence relation Dn = Dn-1 + Dn-2, for all n 2 with D0 = 2 and D1 = 1+m, m being a fixed positive integer.
Sanjay Harne +2 more
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Some properties of the generalized (p,q)- Fibonacci-Like number
MATEC Web of Conferences, 2018 For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
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DYNAMICAL BEHAVIOR AND SOLUTION OF NONLINEAR DIFFERENCE EQUATION VIA FIBONACCI SEQUENCE
, 2020 In this paper, we study the behavior of the difference equation xn+1 = axn + bxnxn−1 cxn−1 + dxn−2 , n = 0, 1, . . . , where the initial conditions x−2, x−1, x0 are arbitrary positive real numbers and a, b, c, d are positive constants.
E. Elsayed +3 more
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New Fibonacci-type pulsated sequences [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 A new Fibonacci-type sequence from pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
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SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE [PDF]
, 2013 This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials.
Dunutrescu, C., Rocsoreanu, C.
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The cyclic-Fibonacci hybrid sequence in groups [PDF]
Journal of Mahani Mathematical ResearchThe aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence ...
Esra Kırmızı Çetinalp +2 more
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, 2014 This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: given n, sum the previous two terms and divide them by the largest possible power of n. The behavior of such sequences depends on n. We analyze these sequences for small n: 2, 3, 4, and 5. Surprisingly these behaviors are very different.
Avila, Brandon, Khovanova, Tanya
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The number of valid factorizations of Fibonacci prefixes [PDF]
, 2019 We establish several recurrence relations and an explicit formula for V(n), the number of factorizations of the length-n prefix of the Fibonacci word into a (not necessarily strictly) decreasing sequence of standard Fibonacci words.
Bonardo, Pierre +2 more
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