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ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS
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 Title & Authors
ON THE SEQUENCES RELATED TO FIBONACCI AND LUCAS NUMBERS
OZGUR NIHAL YILMAZ;
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 Abstract
In this paper, we obtain some properties of the sequences introduced in [6]. We find polynomial representations and formulas of them. For q = 5, is the Fibonacci sequence is the Lucas sequence .
 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  crossref(new windwow)
2.
The Generalized Order-kLucas Sequences in Finite Groups, Journal of Applied Mathematics, 2012, 2012, 1  crossref(new windwow)
 References
1.
R. A. Dunlap, The Golden Ratio and Fibonacci Numbers, World Scientific Press, 1997

2.
M. Gardner, Mathematical Circus: More Puzzles, Games, Paradoxes and Other Mathematical Entertainments from Scientific American., New York: Knopf, 1979

3.
E. Hecke, Uber die bestimmung Dirichletscher reihen durch ihre funktionalgle- ichungen, Math. Ann. 112 (1936), 664-699 crossref(new window)

4.
V. E. Hogatt, The Fibonacci and Lucas Numbers, Boston MA: Houghton Mifflin, 1969

5.
S. Vajda, Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications, Halsted Press, 1989

6.
N. Yilmaz Ozgur, Generalizations of Fibonacci and Lucas sequences, Note. Mat. 21 (1) (2002), 113-125

7.
N. Yilmaz Ozgur, Principal congruence subgroups of Hecke groups H$(\sqrt{q})$, Submitted.