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BINOMIAL SUMS WITH HARMONIC AND FIBONACCI NUMBERS.
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- Journal of Science & Arts, 2024, v. 24, n. 2, p. 389, doi. 10.46939/J.Sci.Arts-24.2-a13
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- Article
A novel image encryption scheme based on Arnold scrambling and Lucas series.
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- Multimedia Tools & Applications, 2019, v. 78, n. 19, p. 27611, doi. 10.1007/s11042-019-07881-x
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- Article
Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers.
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- Theoretical & Mathematical Physics, 2021, v. 208, n. 2, p. 1075, doi. 10.1134/S0040577921080079
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- Article
A NEW CLASS OF ORDINARY GENERATING FUNCTIONS FOR BINARY PRODUCTS OF MERSENNE NUMBERS AND GAUSSIAN NUMBERS WITH PARAMETERS p AND q.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2023, v. 23, p. 1, doi. 10.5281/zenodo.10075889
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- Article
RELATING FIBONACCI NUMBERS TO THE INFINITUDES OF CERTAIN PRIMES.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2023, v. 23, p. 1
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- Article
FIBONACCI-CATALAN SERIES.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2022, v. 22, p. 1
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- Article
SUMS OF PRODUCTS OF BINOMIAL COEFFICIENTS MOD 2 AND RUN LENGTH TRANSFORMS OF SEQUENCES.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2022, v. 22, p. 1
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- Article
ON A FAMILY OF CUBIC THUE EQUATIONS INVOLVING FIBONACCI AND LUCAS NUMBERS.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2022, v. 22, p. 1
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- Article
ON PILLAI'S PROBLEM WITH LUCAS NUMBERS AND POWERS OF 3.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2021, v. 21, p. 1
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- Article
SUMS AND CONVOLUTIONS OF K-BONACCI AND K-LUCAS NUMBERS.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2021, v. 21, p. 1
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- Article
GENERALIZATIONS OF WOLSTENHOLME’S THEOREM VIA THE P-ADIC LOGARITHM.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2020, v. 20, p. 1
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- Article
IDENTITIES FOR THE GENERALIZED FIBONACCI POLYNOMIAL.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2018, v. 18B, p. 1
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- Article
Solutions of the Pell Equation x<sup>2</sup>-(a<sup>2</sup>b<sup>2</sup>c<sup>2</sup> + 2ab)y<sup>2</sup> = N when N ∊ ±1,±4.
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- Journal of Ramanujan Society of Mathematics & Mathematical Sciences, 2014, v. 3, n. 2, p. 79
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- Article
Balancing and Lucas-Balancing Numbers and Their Application to Cryptography.
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- Computer Engineering & Applications Journal, 2016, v. 5, n. 1, p. 29, doi. 10.18495/comengapp.v5i1.46
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- Article
Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers.
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- Discrete Dynamics in Nature & Society, 2011, p. 1, doi. 10.1155/2011/284261
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- Article
On Gaussian Leonardo Hybrid Polynomials.
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- Symmetry (20738994), 2023, v. 15, n. 7, p. 1422, doi. 10.3390/sym15071422
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- Article
p -Numerical Semigroups of Generalized Fibonacci Triples.
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- Symmetry (20738994), 2023, v. 15, n. 4, p. 852, doi. 10.3390/sym15040852
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- Article
Ordered Leonardo Quadruple Numbers.
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- Symmetry (20738994), 2023, v. 15, n. 1, p. 149, doi. 10.3390/sym15010149
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- Article
Carlitz's Equations on Generalized Fibonacci Numbers.
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- Symmetry (20738994), 2022, v. 14, n. 4, p. N.PAG, doi. 10.3390/sym14040764
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- Article
Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers.
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- Symmetry (20738994), 2021, v. 13, n. 11, p. 2002, doi. 10.3390/sym13112002
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On New Formulas of Fibonacci and Lucas Numbers Involving Golden Ratio Associated with Atomic Structure in Chemistry.
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- Symmetry (20738994), 2021, v. 13, n. 8, p. 1334, doi. 10.3390/sym13081334
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- Article
Representation of Integers as Sums of Fibonacci and Lucas Numbers.
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- Symmetry (20738994), 2020, v. 12, n. 10, p. 1625, doi. 10.3390/sym12101625
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- Article
POLYNOMIAL SEQUENCE AND EXPONENTIAL GENERATING FUNCTION OF LUCAS SERIES.
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- Annals. Computer Science Series, 2020, v. 18, n. 1, p. 26
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- Article
Fibonacci and Lucas congruences and their applications.
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- Acta Mathematica Sinica, 2011, v. 27, n. 4, p. 725, doi. 10.1007/s10114-011-9744-0
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- Article
Sums or products of double factorials in Lucas sequences.
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- International Journal of Number Theory, 2024, v. 20, n. 8, p. 1943, doi. 10.1142/S1793042124500957
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- Article
On the exponential Diophantine equation Fnx±Fmx=a with a∈{Fr,Lr}.
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- International Journal of Number Theory, 2023, v. 19, n. 1, p. 41, doi. 10.1142/S1793042123500021
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- Article
On The Norms Of Circulant Matrices With The Complex Fibonacci And Lucas Numbers.
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- Gazi University Journal of Science, 2016, v. 29, n. 2, p. 487
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- Article
HYPERBOLIC ARCTANGENT SUMMATIONS OF PELL AND PELL-LUCAS POLYNOMIALS.
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- Publications de l'Institut Mathématique, 2024, v. 115, n. 129, p. 77, doi. 10.2298/PIM2429077G
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- Article
Some Properties of (p, q) - Lucas Number.
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- Kyungpook Mathematical Journal, 2016, v. 56, n. 2, p. 367, doi. 10.5666/KMJ.2016.56.2.367
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- Article
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives.
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- Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/451953
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- Article
The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers.
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- Journal of Applied Mathematics, 2014, p. 1, doi. 10.1155/2014/239693
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- Article
Binomial Sum Relations Involving Fibonacci and Lucas Numbers.
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- AppliedMath, 2023, v. 3, n. 4, p. 851, doi. 10.3390/appliedmath3040046
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- Article
REPDIGITS AS DIFFERENCE OF TWO FIBONACCI OR LUCAS NUMBERS.
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- Matematychni Studii, 2021, v. 56, n. 2, p. 124, doi. 10.30970/ms.56.2.124-132
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- Article
GENERAL INFINITE SERIES EVALUATIONS INVOLVING FIBONACCI NUMBERS AND THE RIEMANN ZETA FUNCTION.
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- Matematychni Studii, 2021, v. 55, n. 2, p. 115, doi. 10.30970/ms.55.2.115-123
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- Article
GENERALIZATION OF CASSINI FORMULAS FOR BALANCING AND LUCAS-BALANCING NUMBERS.
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- Matematychni Studii, 2014, v. 42, n. 1, p. 9
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- Article
ON HORADAM-LUCAS SEQUENCE.
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- Journal of the Indonesian Mathematical Society, 2023, v. 29, n. 1, p. 116, doi. 10.22342/jims.29.1.1280.116-124
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- Article
ON TRIANGULAR PELL AND PELL-LUCAS NUMBERS.
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- Bulletin of International Mathematical Virtual Institute, 2022, v. 12, n. 3, p. 429, doi. 10.7251/BIMVI2203429I
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- Article
A note on Fibonacci and Lucas number of domination in path.
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- Electronic Journal of Graph Theory & Applications, 2018, v. 6, n. 2, p. 317, doi. 10.5614/ejgta.2018.6.2.11
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- Article
ON SOME PROPERTIES OF PARTICULAR TETRANACCI SEQUENCES.
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- Journal of International Mathematical Virtual Institute, 2020, p. 361, doi. 10.7251/JIMVI2002361P
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- Article
NOTES ON THE N-TH POWER OF GENERALIZED (S, T)-PELL AND (S, T)-PELL LUCAS MATRIX SEQUENCES.
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- Transylvanian Journal of Mathematics & Mechanics, 2022, v. 14, n. 1, p. 95
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- Article
Repdigits as Products of Consecutive Pell or Pell--Lucas Numbers.
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- Iranian Journal of Mathematical Sciences & Informatics, 2024, v. 19, n. 1, p. 63, doi. 10.61186/ijmsi.19.1.63
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- Article
Diophantine Equations Related with Linear Binary Recurrences.
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- Iranian Journal of Mathematical Sciences & Informatics, 2022, v. 17, n. 1, p. 11, doi. 10.52547/ijmsi.17.1.11
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- Article
Fibonacci and Lucas Numbers for Real Indices and Some Applications.
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- Acta Physica Polonica: A, 2011, v. 120, n. 5, p. 755
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Fibonacci and Lucas Numbers for Real Indices and Some Applications.
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- Acta Physica Polonica: A, 2011, v. 120, n. 4, p. 755
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- Article
On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers.
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- Acta et Commentationes Universitatis Tartuensis de Mathematica, 2022, v. 26, n. 1, p. 33, doi. 10.12697/ACUTM.2022.22.03
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Some unrestricted Fibonacci and Lucas hyper-complex numbers.
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- Acta et Commentationes Universitatis Tartuensis de Mathematica, 2020, v. 24, n. 1, p. 37, doi. 10.12697/ACUTM.2020.24.03
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- Article
Lucas numbers of the form (2<sup>t</sup><sub>k</sub>).
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- Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019, v. 23, n. 1, p. 65, doi. 10.12697/ACUTM.2019.23.06
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- Article
A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers.
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- Tbilisi Mathematical Journal, 2021, v. 14, n. 2, p. 221, doi. 10.32513/tmj/19322008135
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- Article
ON LINEAR RELATIONS FOR DIRICHLET SERIES FORMED BY RECURSIVE SEQUENCES OF SECOND ORDER.
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- Journal of the Australian Mathematical Society, 2021, v. 110, n. 3, p. 406, doi. 10.1017/S1446788719000491
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- Article
THE REVE'S PUZZLE WITH AN EVILDOER DISC.
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- Journal of the Bangladesh Academy of Sciences, 2020, v. 44, n. 1, p. 53, doi. 10.3329/jbas.v44i1.48563
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- Article