Results 11 to 20 of about 31,545 (292)
On the complex factorization of the Lucas sequence
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durmus Bozkurt
exaly +3 more sources
Blocks within the period of Lucas sequence [PDF]
Ratio Mathematica, 2021 In this paper, we consider the periodic nature of the sequence of Lucas numbers L_n defined by the recurrence relation L_n= L_(n-1)+L_(n-2); for all n≥2; with initial condition L_0=2 and L_1=1.
Rima P. Patel, Dr. Devbhadra V. Shah
doaj +2 more sources
On Matrix Sequence of modified Tribonacci-Lucas Numbers
MANAS: Journal of Engineering, 2022 In this paper, we define modified Tribonacci-Lucas matrix sequence and investigate its properties.
Erkan Taşdemir +2 more
doaj +2 more sources
The GCD Sequences of the Altered Lucas Sequences [PDF]
Annales Mathematicae Silesianae, 2020 In this study, we give two sequences {L+n}n≥1 and {L−n}n≥1 derived by altering the Lucas numbers with {±1, ±3}, terms of which are called as altered Lucas numbers.
Koken Fikri
doaj +3 more sources
On some new results for the generalised Lucas sequences
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits ...
Andrica Dorin +2 more
doaj +2 more sources
On Generalized Jacobsthal and Jacobsthal–Lucas Numbers
Annales Mathematicae Silesianae, 2022 Jacobsthal numbers and Jacobsthal–Lucas numbers are some of the most studied special integer sequences related to the Fibonacci numbers. In this study, we introduce one parameter generalizations of Jacobsthal numbers and Jacobsthal–Lucas numbers.
Bród Dorota, Michalski Adrian
doaj +2 more sources
The first map of crop sequence types in Europe over 2012–2018 [PDF]
Earth System Science Data, 2023 Crop diversification is considered a key element of agroecological transition, whereas current dominant cropping systems are known to rely on only a few crop species – like cereals in Europe.
R. Ballot, N. Guilpart, M.-H. Jeuffroy
doaj +2 more sources
Applications of Lucas sequences in convergence and signal processing [PDF]
Scientific ReportsIn this paper we propose a new perspective related to Lucas sequence with statistical and summability, some considerations have been given in connection with their applications of signal processing.
Majeed Ahmad Yousif +4 more
doaj +2 more sources
A generalization of Lucas polynomial sequence
Discrete Applied Mathematics, 2009 The authors consider the problem of a generalization of Lucas polynomial sequence. They obtain a generalized Lucas polynomial sequence from the lattice paths for the Delannoy numbers by allowing weights on the steps \((1,0),(0,1)\) and \((1,1)\).
Gi-Sang Cheon, Louis W Shapiro
exaly +3 more sources
Complex Factorizations of the Lucas Sequences via Matrix Methods
Journal of Applied Mathematics, 2014 Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
doaj +2 more sources