Results 251 to 260 of about 1,822,465 (296)

New Recurrences on Pell Numbers, Pell-Lucas Numbers, Jacobsthal Numbers, and Jacobsthal-Lucas Numbers

Chaos, Solitons and Fractals, 2021
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Engin Özkan, Songül Çelik
exaly   +2 more sources

On Square Pseudo-Lucas Numbers

Canadian Mathematical Bulletin, 1978
J. H. E. Cohn (1) has shown thatare the only square Fibonacci numbers in the set of Fibonacci numbers defined byIf n is a positive integer, we shall call the numbers defined by(1)pseudo-Lucas numbers.
A. Eswarathasan
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On the Order-k Generalized Lucas Numbers

Applied Mathematics and Computation, 2004
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Dursun Taşci̧, Emrah Kilic
exaly   +3 more sources

On quaternion‐Gaussian Lucas numbers

Mathematical Methods in the Applied Sciences, 2020
In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. Then, we have defined the quaternions that accept these numbers as coefficients. We have examined whether the numbers defined provide some identities for quaternions in the literature.
Serpil Halici, Halıcı, Serpil
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Lucas Numbers and Determinants

Integers, 2012
Abstract.In this article, we present two infinite dimensional matrices whose entries are recursively defined, and show that the sequence of their principal minors form the Lucas sequence, that ...
Alireza Moghaddamfar, Hadiseh Tajbakhsh
openaire   +3 more sources

Optimization by k-Lucas numbers

Applied Mathematics and Computation, 2008
The well-known Fibonacci search method to find the maximum point of unimodal functions on closed intervals is modified by using \(k\)-Lucas numbers. This makes the Fibonacci search method more effective and improves an earlier algorithm by \textit{B. Yildiz} and \textit{E. Karaduman} [Appl. Math. Comput. 143, No. 2--3, 523--551 (2003; Zbl 1041.11013)].
Ali Demir, Nese Ömür, Yucel Turker Ulutas   +2 more
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On Concatenations of Fibonacci and Lucas Numbers

Bulletin of the Iranian Mathematical Society, 2022
Let \( (F_n)_{n\ge 0} \) and \( (L_n)_{n\ge 0} \) be the usual Fibonacci and Lucas sequences defined respectively by the linear recurrence relations: \( F_0=0 \), \( F_1=1 \), \( F_{n+2}=F_{n+1}+F_n \) and \( L_0=2 \), \( L_1=1 \), \( L_{n+2}=L_{n+1}+L_n \) for all \( n\ge 0 \).
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Fibonacci and Lucas numbers which are product of two Jacobsal-Lucas numbers

2023
In this study, we find all Fibonacci numbers F-k and Lucas numbers L-k which are products of two Jacobsthal-Lucas numbers. More generally, taking k, m, n as nonnegative integers, we proved that F-k = j(m)j(n) = (2(m) + ((-1)(m)) . (2(n) + ((-1)(n)) implies that (k, m, n) = (1, 1, 1); (2, 1, 1), (3, 0, 1), (5, 1, 2), (9, 0, 4) and L-k = j(m)j(n) implies
Erduvan, F, Keskin, R
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