Results 191 to 200 of about 48,003 (223)

Ratios of Generalized Fibonacci Numbers

The Fibonacci Quarterly, 2022
A. Beardon
semanticscholar   +2 more sources

On a Solvable System of Difference Equations in Terms of Generalized Fibonacci Numbers

Mathematica Slovaca, 2023
In this paper, we represent that the following three-dimensional system of difference equations xn+1=αyn+aynyn−βzn−1, yn+1=βzn+bznzn−γxn−1, zn+1=γxn+cxnxn−αyn−1,  n∈ℕ0, $$\matrix{{{x_{n + 1}} = \alpha {y_n} + {{a{y_n}} \over {{y_n} - \beta {z_{n - 1}}}},\
A. Yüksel, Y. Yazlık
semanticscholar   +1 more source

On the alternating sums of reciprocal generalized Fibonacci numbers

, 2021
In this paper, we consider finite alternating sums derived from the generalized Fibonacci numbers [Formula: see text] [Formula: see text] and [Formula: see text], where [Formula: see text] and [Formula: see text] are positive integers with [Formula: see ...
Y. T. Ulutas, Gökhan Kuzuoğlu
semanticscholar   +1 more source

Generalized Hyper-Fibonacci Numbers and Applications

2022
\textit{Hyper-Fibonacci numbers} were first defined by \textit{A. Dil} and \textit{I. Mező} [Appl. Math. Comput. 206, No. 2, 942--951 (2008; Zbl 1200.65104)]. The goal of the paper under review is to (i) provide some combinatorial properties of a generalization of the \textit{hyper-Fibonacci numbers}, and (ii) to apply these properties to the \textit ...
Ait-Amrane, Lyes, Behloul, Djilali
openaire   +2 more sources

Triangular numbers and generalized fibonacci polynomial

Mathematica Slovaca, 2022
AbstractIn the present paper, we study triangular numbers. We focus on the linear homogeneous recurrence relation of degree 3 with constant coefficients for triangular numbers. Then we deal with the relationship between generalized Fibonacci polynomials and triangular numbers.
openaire   +2 more sources

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