Results 21 to 30 of about 903 (200)
Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles [PDF]
CoRR10 pages, 21 ...
Dong, Shiying
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Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The uniqueness of the sum of the elements of finite subsets of the odd oreven indexed Fibonacci and Lucas sequences are proved. Moreover, it is shownthat the odd or even indexed Fibonacci and Lucas sequences are superincreasingsequences.
Alparslan Kargın +2 more
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Pseudoprimality related to the generalized Lucas sequences [PDF]
, 2021 Some arithmetic properties and new pseudoprimality results concerning generalized Lucas sequences are presented. The findings are connected to the classical Fibonacci, Lucas, Pell, and Pell–Lucas pseudoprimality.
Andrica, Dorin, Bagdasar, Ovidiu
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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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On some new arithmetic properties of the generalized Lucas sequences [PDF]
, 2021 Some arithmetic properties of the generalized Lucas sequences are studied, extending a number of recent results obtained for Fibonacci, Lucas, Pell, and Pell–Lucas sequences.
Andrica, Dorin, Bagdasar, Ovidiu
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On the k-Fibonacci and k-Lucas spinors [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we introduce a new family of sequences called the k-Fibonacci and k-Lucas spinors. Starting with the Binet formulas we present their basic properties, such as Cassini’s identity, Catalan’s identity, d’Ocagne's identity, Vajda's identity ...
Munesh Kumari +2 more
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Fibonacci–Lucas–Pell–Jacobsthal relations [PDF]
, 2022 In this paper, we prove several identities involving linear combinations of convolutions of the generalized Fibonacci and Lucas sequences. Our results apply more generally to broader classes of second-order linearly recurrent sequences with constant ...
Goy, Taras +5 more
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Solutions of equations x2−(p2q2±3p)y2=±kt
Examples and Counterexamples, 2022 In the present paper, we have solved the equation x2−(p2q2±3p)y2=kt,x2−(p2q2±5p)y2=ktand expressed its positive integer solutions in terms of generalized Fibonacci, generalized Lucas and generalized Pell, generalized Pell–Lucas sequences.
Roji Bala, Vinod Mishra
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Identities relating six members of the Fibonacci family of sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
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Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences [PDF]
Turkish Journal of Analysis and Number Theory, 2016 The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula Fn=Fn-1+Fn-2, , and F0=0, F1=1, where Fn is a nth number of sequence.
Yogesh Kumar Gupta +2 more
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