IJPAM: Volume 19, No. 4 (2005)
AN ASYMPTOTIC INTERTWINING OF
THE UNDELAYED AND DELAYED
FIBONACCI NUMBERS
THE UNDELAYED AND DELAYED
FIBONACCI NUMBERS
Miloslav Znojil
Nuclear Physics Institute of Czech Academy of Sciences
Rez near Prague, 250 68, CZECH REPUBLIC
e-mail: znojil@ujf.cas.cz
Nuclear Physics Institute of Czech Academy of Sciences
Rez near Prague, 250 68, CZECH REPUBLIC
e-mail: znojil@ujf.cas.cz
Abstract.The list of properties of Fibonacci numbers 
(with multifaceted relevance in physics) is complemented by an empirical observation that in combination with the ``next" family of the ``delayed Fibonacci" numbers 
(called, for convenience, ``Gibonacci numbers" here), both sets exhibit certain remarkable and fairly unexpected asymptotic mutual-bracketing properties.
Received: March 3, 2005
AMS Subject Classification: 11B39
Key Words and Phrases: Fibonacci sequence, recurrences with delay, inequalities
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 19
Issue: 4
