Results 81 to 90 of about 126,630 (242)
A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence
Discrete Dynamics in Nature and Society, 2013 We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
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Non-universal behavior for aperiodic interactions within a mean-field approximation
, 2008 We study the spin-1/2 Ising model on a Bethe lattice in the mean-field limit, with the interaction constants following two deterministic aperiodic sequences: Fibonacci or period-doubling ones. New algorithms of sequence generation were implemented, which
J. Cardy +5 more
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International Journal of Advanced Mathematical Sciences, 2013 The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, which belong to particular class of recursive sequences. In this article, Fibonacci-Like sequence is introduced and defined by 1 2 0 1 2 for 2 with 2 , 1. n n n H H H n H H The Binet’s formula and generating function of Fibonacci-Like sequence ...
Omprakash Sikhwal +2 more
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Note on a Fibonacci parity sequence
Cryptography and Communications, 2022 Let ftm = 0111010010001... be the analogue of the Thue-Morse sequence in Fibonacci representation. In this note we show how, using the Walnut theorem-prover, to obtain a measure of its complexity, previously studied by Jamet, Popoli, and Stoll. We strengthen one of their theorems and disprove one of their conjectures.
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The Plant Journal, Volume 121, Issue 5, March 2025.Significance Statement We showed that REM34 and REM35, cooperating with ARF7 and ARF19, regulate phyllotaxis establishment in Arabidopsis by the transcriptional control of a common set of genes and by influencing the cell cycle. This fundamental research study adds knowledge on the complex programs that drive inflorescence development, such as cell ...
Francesca Caselli +8 more
wiley +1 more source
Cores with distinct parts and bigraded Fibonacci numbers
, 2017 The notion of $(a,b)$-cores is closely related to rational $(a,b)$ Dyck paths due to Anderson's bijection, and thus the number of $(a,a+1)$-cores is given by the Catalan number $C_a$.
Paramonov, Kirill
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Generalized Fibonacci Sequences Generated from a $k$--Fibonacci Sequence
Journal of Mathematics Research, 2012 In this paper we will prove that all $k$--Fibonacci sequence contains generalized Fibonacci sequences and we will indicate the form of obtain them.
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A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
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Some results on average of Fibonacci and Lucas sequences [PDF]
arXiv, 2020 In this paper, we discuss about some results on average of Fibonacci and Lucas sequences that may be found in the OEIS code A111035.
arxiv
Journal of Computer Assisted Learning, Volume 41, Issue 1, February 2025.ABSTRACT Background Feedback as one of the most influential factors for learning has been subject to a great body of research. It plays a key role in the development of educational technology systems and is traditionally rooted in deterministic feedback defined by experts and their experience.
Dominic Lohr +2 more
wiley +1 more source