Results 11 to 20 of about 1,554,483 (162)
On the 2k-step Jordan-Fibonacci sequence
Advances in Difference Equations, 2017 In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci ...
Omur Deveci, Sait Taş, A Kılıçman
doaj +2 more sources
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
doaj +2 more sources
Some Inequalities for the Triangle Involving Fibonacci Numbers [PDF]
, 2004 In this note classical inequalities and Fibonacci numbers are used to obtain some miscellaneous inequalities involving the elements of a ...
Díaz-Barrero, José Luis
core +6 more sources
J. Integer Seq., 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.
Brandon Avila, Tanya Khovanova
openaire +4 more sources
Optimal Control and the Fibonacci Sequence [PDF]
Journal of Optimization Theory and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
von Brasch, Thomas +2 more
openaire +7 more sources
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.
core +1 more source
Approximating the Fibonacci Sequence
Integers, 2016 See the abstract in the attached pdf.
Tom Edgar +2 more
openaire +3 more sources
There are no multiply-perfect Fibonacci numbers [PDF]
, 2011 Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H. +11 more
core +1 more source
Fibonacci along even powers is (almost) realizable [PDF]
An integer sequence is called realizable if it is the count of periodic points of some map. The Fibonacci sequence (F_n) does not have this property, and the Fibonacci sequence sampled along the squares (F_(n^2)) also does not have this property.
Ward T, Moss P
core +4 more sources
Trees and Meta-Fibonacci Sequences [PDF]
The Electronic Journal of Combinatorics, 2009 For $k>1$ and nonnegative integer parameters $a_p, b_p$, $p = 1..k$, we analyze the solutions to the meta-Fibonacci recursion $C(n)=\sum_{p=1}^k C(n-a_p-C(n-b_p))$, where the parameters $a_p, b_p$, $p = 1..k$ satisfy a specific constraint. For $k=2$ we present compelling empirical evidence that solutions exist only for two particular families of ...
Abraham Isgur +2 more
openaire +3 more sources