On the number of complex horadam sequences with a fixed period
Journal article
Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the number of complex horadam sequences with a fixed period. Fibonacci Quarterly.
Authors | Bagdasar, Ovidiu and Larcombe, Peter J. |
---|---|
Abstract | The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex plane, depending on a family of four complex parameters: two recurrence coefficients and two initial conditions. Here the Horadam sequences with a given period are enumerated. The result generates a new integer sequence whose representation involves some well-known functions such as Euler's totient function φ and the number of divisors function ω. |
Keywords | Periodic sequences; Horadam sequences; Recurrent sequence; Arithmetic function |
Year | 2013 |
Journal | Fibonacci Quarterly |
Publisher | Fibonacci Association |
ISSN | 0015-0517 |
Web address (URL) | http://hdl.handle.net/10545/620940 |
http://creativecommons.org/licenses/by/4.0/ | |
hdl:10545/620940 | |
Publication dates | 01 Nov 2013 |
Publication process dates | |
Deposited | 21 Nov 2016, 16:11 |
Contributors | University of Derby |
File | File Access Level Open |
File | File Access Level Open |
Permalink -
https://repository.derby.ac.uk/item/94y33/on-the-number-of-complex-horadam-sequences-with-a-fixed-period
Download files
48
total views0
total downloads9
views this month0
downloads this month