Results 21 to 30 of about 263 (131)

Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers

, 2018
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.
Yüksel Soykan
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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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A new graph labeling with Tribonacci, Fibonacci and Triangular numbers

Discover Sustainability
In this paper, a new graph labeling technique using three sequences of numbers, namely Tribonacci, Fibonacci and Triangular is introduced. They are named as Tribo-Fibo-Triangular labeling and denoted as TF $$\Delta $$ Δ labeling.
Fredrick Ignatius, S. Kaspar
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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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An extended framework for bihyperbolic generalized Tribonacci numbers [PDF]

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
The aim of this article is to identify and analyze a new type special number system which is called bihyperbolic generalized Tribonacci numbers (BGTN for short). For this purpose, we give both classical and several new properties such as; recurrence relation, Binet formula, generating function, exponential generating function, summation formulae ...
Nurten Gürses, Zehra İşbilir
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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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Generalized Woodall Numbers: An Investigation of Properties of Woodall and Cullen Numbers via Their Third Order Linear Recurrence Relations

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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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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An Efficient and Secure Method of Plaintext-Based Image Encryption Using Fibonacci and Tribonacci Transformations

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, Bibhas Chandra Dhara, Saiyed Umer, Vijayan Asari   +3 more
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On square Tribonacci Lucas numbers

Hacettepe Journal of Mathematics and Statistics, 2021
The Tribonacci-Lucas sequence {Sn}{Sn} is defined by the recurrence relation Sn+3=Sn+2+Sn+1+SnSn+3=Sn+2+Sn+1+Sn with S0=3, S1=1, S2=3.S0=3, S1=1, S2=3. In this note, we show that 11 is the only perfect square in Tribonacci-Lucas sequence for n≢1(mod32)n≢1(mod32) and n≢17(mod96).n≢17(mod96).
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