• Search: "Fibonacci and Lucas numbers and polynomials and generalizations"

Showing 21 - 40 of 2,584

21

On second order linear divisibility sequences over algebraic number fields
Györy, K. ; Pethö, A.
Publicationes Mathematicae Debrecen. 39:171-179

ring of integers second order linear recu... Algebraic number theory:... divisibility sequence Fibonacci and Lucas numb... 0101 mathematics …
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22

A generalization of the Eulerian numbers
Takacs, Lajos
Publicationes Mathematicae Debrecen. 26:173-181

generalized Stirling's n... recurrence formula Exact enumeration proble... Fibonacci and Lucas numb... generalized Eulerian num... 0101 mathematics …
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23

Full cubes in the Fibonacci sequence
Pethö, A.
Publicationes Mathematicae Debrecen. 30:117-127

cubes Transcendence (general t... Cubic and quartic Diopha... sieve technique Waldschmidt theorem 01 natural sciences …
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24

On the average hitting times of the squares of cycles
Yoshiaki Doi ; Norio Konno ; Tomoki Nakamigawa ; et al.
Discrete Applied Mathematics. 313:18-28

Random walks, random sur... square of a cycle Fibonacci number hitting time 01 natural sciences Random walks on graphs …
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25

An identity for two sequences and its combinatorial interpretation
Djemmada, Yahia ; Mehdaoui, Abdelghani ; Németh, László ; et al.
Annales Mathematicae et Informaticae.

QA Mathematics / matemat... generalized Fibonacci nu... generalized Pell number Combinatorial aspects of... Fibonacci and Lucas numb... combinatorial interpreta... …
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26

On the reciprocal sum of the fourth power of Fibonacci numbers
Hwang WonTae ; Park Jong-Do ; Song Kyunghwan
Open Mathematics, Vol 20, Iss 1, Pp 1642-1655 (2022)

lucas number Pisano period pisano period 65q30 11b39 Fibonacci number …
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27

On characterization of being a generalized Fibonacci Q-matrix of linear combinations of two generalized Fibonacci Q-matrices: On characterization of being a generalized Fibonacci \(Q\)-matrix of linear combinations of two generalized Fibonacci \(Q\)-matrices
Öndül, A. ; Demirkol, T. ; Özdemir, H.
Afrika Matematika. 35

Fibonacci \(Q\)-matrix matrix equations generalized Fibonacci nu... Fibonacci and Lucas numb... Fibonacci numbers linear combination …
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28

Prime Density of Lehmer Sequences: Prime density of Lehmer sequences
Ballot, Christian

Lucas sequences asymptotic density relat... Lehmer sequences Density, gaps, topology Fibonacci and Lucas numb... Primes
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29

An exponential equation involving k-Fibonacci numbers: An exponential equation involving \(k\)-Fibonacci numbers
Alioune GUEYE ; Salah Eddine RIHANE ; Alain TOGBÉ
TURKISH JOURNAL OF MATHEMATICS. 45:2664-2677

linear form in logarithm... \(k\)-Fibonacci numbers Fibonacci and Lucas numb... reduction method 0101 mathematics Exponential Diophantine... …
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30

New families of Horadam numbers associated with finite operators and their applications
Can Kızılateş
Mathematical Methods in the Applied Sciences. 44:14371-14381

0101 mathematics closed formula generating function 01 natural sciences Horadam numbers Special sequences and po... …
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31

On the Fibonacci quaternion sequence with quadruple-produce components
Orhan Dişkaya ; Hamza Menken
Acta et Commentationes Universitatis Tartuensis de Mathematica. 25:157-170

binomial sum quaternion generating function Special sequences and po... 0103 physical sciences Exact enumeration proble... …
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32

On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers
Kilic, Nayil ; İstanbul University Cerrahpaşa Institutional Repository
Journal of Discrete Mathematical Sciences and Cryptography. 24:1063-1074

Generating functions Fibonacci and Lucas numb... Recurrences 0101 mathematics 01 natural sciences
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33

Balancing numbers which are products of three repdigits in base b: Balancing numbers which are products of three repdigits in base \(b\)
Adédji, Kouèssi Norbert
Boletín de la Sociedad Matemática Mexicana. 29

logarithmic height Approximation to algebra... Fibonacci and Lucas numb... balancing numbers reduction method \(b\) repdigits …
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34

On the solutions of the Diophantine equation $$P_n\pm \frac{a(10^m-1)}{9}=k!$$: On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\)
Kouèssi Norbert Adédji ; Florian Luca ; Alain Togbé
European Journal of Mathematics. 9

repdigits \(p\)-adic valuation Diophantine equations \(p\)-adic linear forms... Fibonacci and Lucas numb... reduction method …
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35

Partial Correctness of an Algorithm Computing Lucas Sequences: Partial correctness of an algorithm computing Lucas sequences
Adrian Jaszczak
Formalized Mathematics. 28:279-288

program verification Lucas sequences Logic in computer scienc... Specification and verifi... nominative data Formalization of mathema... …
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36

THE HORADAM HYBRID POLYNOMIALS: The Horadam hybrid polynomials
Kılıç, Nayil ; İstanbul University Cerrahpaşa Institutional Repository
Advances and Applications in Discrete Mathematics. 24:27-38

Fibonacci and Lucas numb... recurrences generating functions Exact enumeration proble... Fibonacci and Lucas poly... Fibonacci and Lucas numb... …
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37

The Diophantine equations $$P_n^x+P_{n+1}^y=P_m^x$$ or $$P_n^y+P_{n+1}^x=P_m^x$$: The Diophantine equations \(P_n^x+P_{n+1}^y=P_m^x\) or \(P_n^y+P_{n+1}^x=P_m^x\)
Bernadette Faye ; Florian Luca ; Salah Eddine Rihane ; et al.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117

Diophantine equations linear form in logarithm... Fibonacci and Lucas numb... reduction method Pell numbers Linear forms in logarith... …
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38

Pairwise Modular Multiplicative Inverses and Fibonacci Numbers: Pairwise modular multiplicative inverses and Fibonacci numbers
Sanna, Carlo

pairwise modular multipl... Fibonacci and Lucas numb... Congruences primitive roots residue systems Fibonacci numbers
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39

Compositions of positive integers with 2sand 3s: Compositions of positive integers with \(2s\) and \(3s\)
Dişkaya Orhan ; Menken Hamza
Demonstratio Mathematica, Vol 56, Iss 1, Pp 835-901 (2023)

11b65 Pascal triangle palindromic 11b37 Padovan numbers compositions …
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40

Pell–Lucas Numbers as Sum of Same Power of Consecutive Pell Numbers: Pell-Lucas numbers as sum of same power of consecutive Pell numbers
Salah Eddine Rihane ; Euloge B. Tchammou ; Alain Togbé
Mediterranean Journal of Mathematics. 19

linear form in logarithm... Fibonacci and Lucas numb... Pell-Lucas numbers reduction method Pell numbers 0101 mathematics …
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