Results 21 to 30 of about 879,292 (211)

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE [PDF]

open access: yes, 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

open access: yesIntegers, 2016
See the abstract in the attached pdf.
Tom Edgar   +2 more
openaire   +3 more sources

Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces

open access: yesFuzzy Information and Engineering, 2022
The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion.
Ömer Kişi, Pradip Debnath
doaj   +1 more source

There are no multiply-perfect Fibonacci numbers [PDF]

open access: yes, 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

Identities relating six members of the Fibonacci family of sequences

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
doaj   +1 more source

Powers in a class of A-strict standard episturmian words [PDF]

open access: yes, 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   +1 more source

Trees and Meta-Fibonacci Sequences [PDF]

open access: yesThe 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

On Certain Power Horadam Sequences

open access: yesDüzce Üniversitesi Bilim ve Teknoloji Dergisi, 2022
In this study, firstly, we analyzed power Fibonacci sequences defined by Ide and Renault in [13]. Then, we described two power Horadam sequences modulo s for u=1,v=3 and u=3,v=1, respectively. We determined those modulus s for which the two power Horadam
Çağla Çelemoğlu   +2 more
doaj   +1 more source

The Fibonacci-circulant sequences in the binary polyhedral groups [PDF]

open access: yesInternational Journal of Group Theory, 2021
In 2017 Deveci et al‎. ‎defined the Fibonacci-circulant sequences of the first and second kinds as shown‎, ‎respectively:‎x_n^1 = -x_(n-1)^1+x_(n-2)^1-x_(n-3)^1 for n≥4,where x_1^1=x_2^1=0 and x_3^1=1andx_n^2 = -x_(n-3)^2-x_(n-4)^2+x_(n-5)^2 for n≥6 ...
Erdal Karaduman, Omur Deveci
doaj   +1 more source

Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]

open access: yes, 2011
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R.   +2 more
core   +1 more source

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