Results 91 to 100 of about 248,402 (331)
A Sequence Bounded Above by the Lucas Numbers
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this work, we consider the sequence whosenthterm isthe number of h-vectors of length n. The set of integer vectors E(n)isintroduced. For, n>=2,the cardinality ofE(n)is the nthLucasnumber Lnisshowed.
Ali Aydoğdu +2 more
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The terms in Lucas sequences divisible by their indices [PDF]
, 2009 For Lucas sequences of the first kind (u_n) and second kind (v_n) defined as usual for positive n by u_n=(a^n-b^n)/(a-b), v_n=a^n+b^n, where a and b are either integers or conjugate quadratic integers, we describe the set of indices n for which n divides
Smyth, Chris
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ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS [PDF]
Journal of the Korean Mathematical Society, 2005 The sequences \(\{U_n\}_{n\geq 0}\) and \(\{V_n\}_{n\geq 0}\) are introduced by recurrence relations: \[ \begin{aligned} U_n &= (q- 2)(U_{n-2}- U_{n-4},\;n\geq 4,\\ V_n &= (q-2) V_{n-2}- V_{n-4},\;n\geq 4\end{aligned} \] with initial conditions \(U_0= 0\), \(U_1= 1\), \(U_2= 1\), \(U_4= q- 1\), \(V_0= 2\), \(V_1= 1\), \(V_2= q-1\), where \(q\geq 5\) is
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Generalized Fibonacci-Lucas Sequence [PDF]
Turkish Journal of Analysis and Number Theory, 2014 The Fibonacci sequence is a source of many nice and interesting identities. A similar interpretation exists for Lucas sequence. The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field.
Bijendra Singh +2 more
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Advanced Science, EarlyView.Coordinating therapy with gene expression kinetics emerges as a key strategy for maximizing nanomedicine efficacy in aggressive cancers. A hybrid nanocarrier delivering HSP70‐targeting siRNA demonstrates this chronotherapeutic principle through systematic cellular profiling.
Tianliang Fang +6 more
wiley +1 more source
Gaussian Generalized Tetranacci Numbers
, 2019 In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their ...
Soykan, Yüksel
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King and Cochrane: The technological treadmill and racial inequity in US agriculture
Applied Economic Perspectives and Policy, EarlyView.Abstract Between 1920 and 1969, the number of Black farmers in the US decreased from 14% of all operators to 4%. Using Martin Luther King Jr.'s critique of agricultural policy and Willard Cochrane's theory of the technological treadmill, we explore how racial discrimination was linked to policies that led to structural change in US agriculture.
Jared Hutchins, Jacopo De Marinis
wiley +1 more source
The power sum of balancing polynomials and their divisible properties
AIMS MathematicsIn recent years, many scholars have studied the division properties of polynomials and sequence power sums. In this paper, we use Girard-Waring formula and combinatorial method to study the power sum problem of balancing polynomials and Lucas-balancing ...
Hong Kang
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A Matrix Approach for Divisibility Properties of the Generalized Fibonacci Sequence
Discrete Dynamics in Nature and Society, 2013 We give divisibility properties of the generalized Fibonacci sequence by matrix methods. We also present new recursive identities for the generalized Fibonacci and Lucas sequences.
Aynur Yalçiner
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On the equilibrium in a discrete-time Lucas Model [PDF]
In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing.
Marius Boldea
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