Results 61 to 70 of about 123 (113)

TRIBONACCI NUMBERS AS PRODUCTS OF TWO NARAYANA’S NUMBERS

JP Journal of Algebra, Number Theory and Applications
Let $(N_n)_{n \ge0}$ be the Narayana’s cows sequence and $(T_n)_{n \ge0}$ the Tribonacci sequence. In this paper, we investigate Diophantine equations involving the Tribonacci sequence and the Narayana sequence. More precisely, we solve the Diophantine equations \[T_k=N_mN_n,\] \[N_k=T_mT_n.\] Using a combination of linear forms in logarithms ...
null Sémou Diouf, null Lamine Ngom, null Oumar Fall   +2 more
openaire   +1 more source

An extended framework for bihyperbolic generalized Tribonacci numbers

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
openaire   +3 more sources

Fibonacci numbers: A population dynamics perspective. [PDF]

Heliyon, 2019
Supriatna AK, Carnia E, Ndii MZ.
europepmc   +1 more source

On the higher power sums of reciprocal higher-order sequences. [PDF]

ScientificWorldJournal, 2014
Wu Z, Zhang J.
europepmc   +1 more source

Diophantine triples in linear recurrences of Pisot type. [PDF]

Res Number Theory, 2018
Fuchs C, Hutle C, Luca F.
europepmc   +1 more source

Student placement and skill ranking predictors for programming classes using class attitude, psychological scales, and code metrics. [PDF]

Res Pract Technol Enhanc Learn, 2018
Ishizue R, Sakamoto K, Washizaki H, Fukazawa Y.   +3 more
europepmc   +1 more source

On the sums of Tribonacci and Tribonacci-Lucas numbers

Applied Mathematical Sciences, 2019
openaire   +1 more source

Sums of Tribonacci and Tribonacci-Lucas numbers

International Journal of Mathematical Analysis, 2018
openaire   +1 more source

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Journal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers, respectively.
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
openaire   +1 more source

Hybrid threshold adaptable quantum secret sharing scheme with reverse Huffman-Fibonacci-tree coding. [PDF]

Sci Rep, 2016
Lai H, Zhang J, Luo MX, Pan L, Pieprzyk J, Xiao F, Orgun MA.   +6 more
europepmc   +1 more source