Results 1 to 10 of about 10,580,440 (338)
ALTERED NUMBERS OF LUCAS NUMBER SQUARED
Journal of Scientific Reports-A, 2023 Considering the properties of the Fibonacci and Lucas numbers, the altered numbers obtained by adding or subtracting the 1,9 values from the square of the nth Lucas numbers form the Fibonacci subsequences.
Fikri Köken, Emre KANKAL
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Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients
Universal Journal of Mathematics and Applications, 2023 In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
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A note on Fibonacci and Lucas number of domination in path [PDF]
Electronic Journal of Graph Theory and Applications, 2018 Let G = (V(G), E(G)) be a path of order n ≥ 1. Let fm(G) be a path with m ≥ 0 independent dominating vertices which follows a Fibonacci string of binary numbers where 1 is the dominating vertex.
Leomarich F Casinillo
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Lucas factoriangular numbers [PDF]
Mathematica Bohemica, 2020 We show that the only Lucas numbers which are factoriangular are $1$ and $2$.
Bir Kafle, Florian Luca, Alain Togbé
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Journal of Mathematical Sciences and Modelling, 2021 Since people existed, they have prioritized confidentiality in information sharing and communication. Although there are independent studies on encryption and music in literature, no study is seen on encryption methods that are created by using the ...
Firdevs Nur Algül +2 more
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Initial number of Lucas’ type series for the generalized Fibonacci sequence
Filomat, 2021 Initial numbers for Lucas? type series have so far been established only for Fibonacci (2,1) and Tribonacci (3,1,3) sequences. Characteristics of stated series is their asymptotic relation with the exponent of the series constant.
Siniša Crvenković +3 more
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A new approach to Fibonacci Tessarines with Fibonacci and Lucas number components
Adıyaman University Journal of Science, 2021 In this ...
Faik Babadağ, Merve USLU
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The Lucas property of a number array
Discrete Mathematics, 2002 AbstractFor all nonnegative integers i,j let w(i,j|a,b,c) denote the number of all paths in the plane from (0,0) to (i,j) with steps (1,0), (0,1), (1,1), and with positive integer weights a, b, c, respectively. The divisibility property of the array w(i,j|a,b,c) is studied.
Marko Razpet
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Construction of dual-generalized complex Fibonacci and Lucas quaternions
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
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Multivariate Lucas polynomials and ideal classes in quadratic number fields [PDF]
Turkish Journal of Mathematics, 2018 In this work, by using Pauli matrices, we introduce four families of polynomials indexed over the positive integers. These polynomials have rational or imaginary rational coefficients.
Ayberk Zeytin
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