Results 91 to 100 of about 2,231,198 (301)
A Graph-Theoretic Encoding of Lucas Sequences
The Fibonacci Quarterly, 2015 Some well-known results of Prodinger and Tichy are that the number of independent sets in the $n$-vertex path graph is $F_{n+2}$, and that the number of independent sets in the $n$-vertex cycle graph is $L_n$. We generalize these results by introducing new classes of graphs whose independent set structures encode the Lucas sequences of both the first ...
Alexander, James, Hearding, Paul
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American Journal of Medical Genetics Part A, EarlyView.ABSTRACT Beckwith–Wiedemann spectrum (BWSp) is an overgrowth disorder characterized by its main clinical features macrosomia, macroglossia, and abdominal wall defects. BWSp is caused by (epi)genetic chromosome 11p15 alterations with approximately 20%–27% of patients exhibiting mosaic paternal uniparental disomy of chromosome 11p15 (pUPD11p15).
Saskia M. Maas +9 more
wiley +1 more source
The Politics of Framing the Student Problem: Inquiries Into Australian Civics Education, 2006–2024
Australian Journal of Social Issues, EarlyView.ABSTRACT Recurring debates about civics, the kinds of history that should, and should not, be taught in school, and ‘standards debates’ about the ‘basics’ typically follow on the heels of recurring moral panics about the ‘declining’ state of ‘our’ education system.
Patrick O'Keeffe +2 more
wiley +1 more source
DETERMINANTAL IDENTITIES FOR k LUCAS SEQUENCE
Journal of New Theory, 2016 Abstaract−In this paper, we defined new relationship between k Lucas sequences and determi- nants of their associated matrices, this approach is different and never tried in k Fibonacci sequence ...
Ashok Dnyandeo Godase +1 more
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On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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Annals of Neurology, EarlyView.Objective This study assessed the efficacy of thrombectomy in acute ischemic stroke because of large‐vessel occlusion (AIS‐LVO) initially admitted to primary stroke centers (PSC) and subsequently transferred to a comprehensive stroke center (CSC), with a large ischemic core identified before transfer.
Pierre Seners +258 more
wiley +1 more source
A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences
MathematicsIn this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
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On some identities for the DGC Leonardo sequence [PDF]
Notes on Number Theory and Discrete MathematicsIn this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz +1 more
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Some infinite series summations involving linear recurrence relations of order 2 and 3 [PDF]
Notes on Number Theory and Discrete MathematicsThis paper extends known results of second and third order recursive sequences through extensive formulations of properties of the roots of their characteristic equations, some are old but most are new. They are applied to novel studies of Σₙ₌ₒ^∞ aₘₙ/10ⁿ⁺
Anthony G. Shannon +4 more
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Primes in shifted sums of Lucas sequences
Integers, 2017 See the abstract in the attached pdf.
Lenny Jones, Lawrence Somer
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