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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
 Keywords
Hecke group;Fibonacci number;Lucas number;
 Language
English
 Cited by
1.
The Generalized Order-kLucas Sequences in Finite Groups, Journal of Applied Mathematics, 2012, 2012, 1  crossref(new windwow)
2.
Principal Congruence Subgroups of Hecke Groups $$ H{\left( {{\sqrt q }} \right)} $$, Acta Mathematica Sinica, English Series, 2006, 22, 2, 383  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.