Results 21 to 30 of about 1,240,285 (142)
Tribonacci numbers with indices in arithmetic progression and their sums [PDF]
Miskolc Mathematical Notes, 2013 In this paper, we give a recurrence relation for the Tribonacci numbers with indices in aritmetics progression, {Trn+s} for 0
Irmak, Nurettin, Alp, Murat
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Intersection of Padovan and Tribonacci sequences [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Assume that Tₙ is the n-th term of Tribonacci sequence and Pₘ is the m-th term of Padovan sequence. In this paper we solve the equation Tₙ=Pₘ completely.
Nurettin Irmak, Abdullah Açıkel
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Some geometric properties of the Padovan vectors in Euclidean 3-space [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Padovan numbers were defined by Stewart (1996) in honor of the modern architect Richard Padovan (1935) and were first discovered in 1924 by Gerard Cordonnier.
Serdar Korkmaz, Hatice Kuşak Samancı
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Universal Journal of Mathematics and Applications, 2022 In this paper, we investigate the generalized Woodall sequences and we deal with, in detail, four special cases, namely, modified Woodall, modified Cullen, Woodall and Cullen sequences. We present Binet's formulas, generating functions, Simson formulas,
Yüksel Soykan, Vedat İrge
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On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v, k = 0, 1, 2, ⋯, where l=lk is a sequence of Leonardo numbers. We study their topological and inclusion relations and construct Schauder bases of the sequence spaces ℓpL,c0L, and
Taja Yaying +4 more
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Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
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The Tribonacci-type balancing numbers and their applications [PDF]
Mathematica Moravica, 2023 N this paper, we define the Tribonacci-type balancing numbers via a Diophantine equation with a complex variable and then give their miscellaneous properties. Also, we study the Tribonacci-type balancing sequence modulo m and then obtain some interesting
Hulku Sakıne, Devec Ömür
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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
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Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We use a new method of matrix decomposition for r‐circulant matrix to get the determinants of An = Circr(F1, F2, …, Fn) and Bn = Circr(L1, L2, …, Ln), where Fn is the Fibonacci numbers and Ln is the Lucas numbers. Based on these determinants and the nonsingular conditions, inverse matrices are derived.
Jiangming Ma +3 more
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IEEE Access, 2023 In this article, we have proposed an efficient and secure method of image encryption. This image encryption method is new, where the plain image is confused using Fibonacci Transformation, and Tribonacci Transformation modifies the pixel values.
Chinmay Maiti +3 more
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