Results 21 to 30 of about 143 (119)
Annales Mathematicae Silesianae, 2020 Let {rn}n∈ be a strictly increasing sequence of nonnegative real numbers satisfying the asymptotic formula rn ~ αβn, where α, β are real numbers with α > 0 and β > 1. In this note we prove some limits that connect this sequence to the number e.
Farhadian Reza, Jakimczuk Rafael
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Fibonacci and Lucas Polynomials in n-gon
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we bring into light, study the polygonal structure of Fibonacci polynomials that are placed clockwise on these by a number corresponding to each vertex. Also, we find the relation between the numbers with such vertices.
Kuloğlu Bahar +2 more
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The Generalization of Gaussians and Leonardo’s Octonions
Annales Mathematicae Silesianae, 2023 In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented.
Vieira Renata Passos Machado +3 more
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On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis
Open Mathematics, 2021 In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras.
Bajorska-Harapińska Beata +3 more
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Diophantine triples in a Lucas-Lehmer sequence [PDF]
, 2018 In this paper, we define a Lucas-Lehmer type sequence denoted by (Ln)1n=0, and show that there are no integers 0 < a < b < c such that ab + 1, ac + 1 and bc + 1 all are terms of the sequence. Keywords: Diophantine triples, Lucas-Lehmer sequences MSC:
Gueth, Krisztián
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On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers
Discussiones Mathematicae - General Algebra and Applications, 2020 In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.
Dutta Utkal Keshari, Ray Prasanta Kumar
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On identities with multinomial coefficients for Fibonacci-Narayana sequence [PDF]
, 2018 In this paper we study some families of Toeplitz-Hessenberg determinants the entries of which are Fibonacci-Narayana (or Narayana’s cows) numbers. This leads to discover some identities for these numbers. In particular, we establish connection between
Goy, Taras
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Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
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On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros [PDF]
, 2018 We identify the accumulation points of the zero set of the polynomial family Gn+1(z) := zGn(z) + Gn−1(z), n 2 N, generated from complex polynomial seeds G0,G1.
Batra, Prashant
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Fibonacci sequences in groupoids [PDF]
, 2012 In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way.
Jeong Soon Han +5 more
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