An asymptotic intertwining of the undelayed and delayed Fibonacci numbers

Details An asymptotic intertwining of the undelayed and delayed Fibonacci numbers An asymptotic intertwining of the undelayed and delayed Fibonacci numbers

2004-03-29

arxiv.org/abs/math-ph/0403058v1

Int. J. Pure Appl. Math. 19 (2005) 525-539

Physics

Mathematical Physics

11 pages + 3 tables

Scientific paper

The list of properties of Fibonacci numbers F(n) (with multifaceted relevance
in physics) is complemented by an empirical observation that in combination
with the "next" family of the "delayed Fibonacci" numbers G(n) called, for
convenience, "Gibonacci numbers" here, both sets exhibit certain remarkable and
fairly unexpected asymptotic mutual-bracketing properties.

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