Results 191 to 200 of about 973 (216)

A Generalization of Fibonacci Numbers

The Fibonacci Quarterly, 1964
V. C. Harris, Carolyn C. Styles
openaire   +1 more source

On the Generalization of the Fibonacci Numbers

The Fibonacci Quarterly, 1975
openaire   +2 more sources

Generalized Fibonacci Number

The Fibonacci Quarterly, 1980
Anne Silva, Verner E. Hoggatt
openaire   +1 more source

Generalized Rabbits for Generalized Fibonacci Numbers

The Fibonacci Quarterly, 1968
openaire   +2 more sources

Generalized Cassini identities via the generalized Fibonacci fundamental system. Applications

Indian Journal of Pure and Applied Mathematics, 2023
Elen Viviani Pereira Spreafico, M Rachidi   +1 more
exaly  

Sums of generalized Fibonacci numbers

2008
Let \(\{w_n(a,b;p,q)\}\) be the generalized Fibonacci sequence \[ w_0 = a, w_1 = b, w_n = pw_{n-1} + qw_{n-2} \text{ for } n \geq 2, \] where \(q, b, p, q\) are arbitrary complex numbers and \(q \geq 0\). Explicit formulae of sums \[ \sum_{i=0}^n w_{r+ti}(a,b;p,q),\quad\sum_{i=0}^n (-1)^i w_{r+ti}(a,b;p,q),\quad \sum_{i=0}^n k^i w_{r+ti}(a,b;p,q), \] \[
Čerin, Zvonko, Gianella, Gian Mario
openaire   +1 more source

Fibonacci Generalized Quaternions

Advances in Applied Clifford Algebras, 2014
Mahmut Akyigit, Hidayet Huda Kosal, Murat Tosun   +2 more
exaly  

On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions

Advances in Applied Clifford Algebras, 2013
Cristina Flaut, Vitalii Shpakivskyi, Flaut Cristina   +2 more
exaly  

Coding theory on generalized Fibonaccin-step polynomials

Journal of Information and Optimization Sciences, 2017
Manjusri Basu
exaly  

On the Generation of Fibonacci Numbers and the “Polyvibrating” Extension of These Numbers

The Fibonacci Quarterly, 1971
Mangeron, D., Oguztöreli, M. N., Poterasu, V. F.   +2 more
openaire   +2 more sources