Results 81 to 90 of about 123 (113)

Tribonacci Numbers and Some Related Interesting Identities [PDF]

Symmetry, 2019
The main purpose of this paper is, by using elementary methods and symmetry properties of the summation procedures, to study the computational problem of a certain power series related to the Tribonacci numbers, and to give some interesting identities for these numbers.
Zhou, Shujie, Chen, Li
exaly   +2 more sources

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Polynomials whose coefficients are generalized Tribonacci numbers

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toufik Mansour, Mark Shattuck 0001
openaire   +2 more sources

Incomplete Tribonacci numbers and polynomials

J. Integer Seq., 2014
Summary: We define the incomplete Tribonacci sequence of numbers and polynomials. We study recurrence relations, some properties of these numbers and polynomials, and the generating function of the incomplete Tribonacci numbers.
José Luis Ramírez, Víctor F. Sirvent
openaire   +2 more sources

Reciprocal sums of the Tribonacci numbers

J. Integer Seq., 2016
Summary: In this article, we consider infinite sums of the reciprocals of the Tribonacci numbers. Then, by applying the floor function to the reciprocals of these sums, we obtain a new identity involving the Tribonacci numbers. Further, we give the formulas for an alternating sum of the reciprocals of the Tribonacci numbers and a sum of reciprocal ...
Pornpawee Anantakitpaisal, Kantaphon Kuhapatanakul   +1 more
openaire   +2 more sources

Tribonacci numbers and the Brocard-Ramanujan equation

J. Integer Seq., 2016
Summary: Let \((T_{n})_{n\geq 0}\) be the Tribonacci sequence defined by the recurrence \(T_{n+2} = T_{n} + T_{n+1}\), with \(T_{0} = 0\) and \(T_{1} = T_{2} = 1\). In this short note, we prove that there are no integer solutions \((u, m)\) to the Brocard-Ramanujan equation \(m! + 1 = u^{2}\) where \(u\) is a Tribonacci number.
Vinícius Facó, Diego Marques
openaire   +2 more sources

A Tribonacci-like sequence of composite numbers

J. Integer Seq., 2017
Summary: We find a new Tribonacci-like sequence of positive integers \(\langle x_0, x_1, x_2, \ldots \rangle\) given by \(x_n = x_{n-1} + x_{n-2} + x_{n-3}, n \geq 3\), and \(\mathrm{gcd}(x_0,x_1,x_2) = 1\) that contains no prime numbers. We show that the sequence with initial values \(x_0 = 151646890045, x_1 = 836564809606, x_2 = 942785024683\) is the
openaire   +2 more sources

An Application of Tribonacci Numbers

The Fibonacci Quarterly, 1977
Stanley Bezuszka, Lou D'Angelo
openaire   +1 more source

Generalized Tribonacci Polynomials

Earthline Journal of Mathematical Sciences, 2023
Yuksel Soykan
exaly  

Some Properties of the Quasi-Tribonacci Sequence

Mathematics, 2023
Zhang Jie Meng
exaly  

Enumerative Properties and Cube Polynomials of Tribonacci Cubes

Discrete Mathematics, 2020
Hacène Belbachir
exaly