ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS

Title & Authors
ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS
OZGUR NIHAL YILMAZ;

Abstract
In this paper, we obtain some properties of the sequences $\small{U^{q}_n\;and\;V^{q}_n}$ introduced in [6]. We find polynomial representations and formulas of them. For q = 5, $\small{U^{5}_n}$ is the Fibonacci sequence $\small{F_n\;and\;V^{5}_n}$ is the Lucas sequence $\small{L_n}$.
Keywords
Hecke group;Fibonacci number;Lucas number;
Language
English
Cited by
1.
Principal Congruence Subgroups of Hecke Groups $$H{\left( {{\sqrt q }} \right)}$$, Acta Mathematica Sinica, English Series, 2006, 22, 2, 383
2.
The Generalized Order-kLucas Sequences in Finite Groups, Journal of Applied Mathematics, 2012, 2012, 1
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N. Yilmaz Ozgur, Principal congruence subgroups of Hecke groups H$(\sqrt{q})$, Submitted.