Results 91 to 100 of about 1,083 (122)

Weighted Tribonacci sums [PDF]

open access: yesarXiv, 2018
We derive various weighted summation identities, including binomial and double binomial identities, for Tribonacci numbers. Our results contain some previously known results as special cases.
arxiv  

Tribonacci numbers that are concatenations of two repdigits. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2020
Ddamulira M.
europepmc   +1 more source

Squares of Tribonacci numbers [PDF]

open access: yesarXiv, 2018
We prove some identities for the squares of generalized Tribonacci numbers. Various summation identities involving these numbers are derived.
arxiv  

Urn Models and Fibonacci Series [PDF]

open access: yesarXiv, 2018
We use probability urn models to discover some known and unknown series identities involving Fibonacci numbers.
arxiv  

The complex pulsating (a1,a2,…,am,c)-Fibonacci sequence

open access: yesJournal of King Saud University: Science, 2022
Several researchers have looked at pulsating Fibonacci sequences in the last ten years, which are generalizations of the Fibonacci sequence. They verify the closed form of these sequences via mathematical induction. This approach is beautiful, but it can
Prathomjit Khachorncharoenkul   +2 more
doaj  

Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers [PDF]

open access: yesarXiv, 2018
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.
arxiv  

Elliptic curve and k-Fibonacci-like sequence

open access: yesScientific African, 2023
In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binet’s formula for this sequence. Moreover, we give a new encryption scheme using this sequence.
Zakariae Cheddour   +2 more
doaj  

Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts [PDF]

open access: yesarXiv, 2018
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences with negative indices and investigate their properties.
arxiv  

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