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Duncan, RL (1967)

An application of uniform distributions to the Fibonacci numbers

Fibonacci Quarterly 5, 137-140.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.



Abstract: INTRODUCTION: Let p_n be the number of digits of the n-th Fibonacci number, and ξ = (1+ √5)/2. The object of this note is to show that both the upper and lower bounds in ⎿(pn - 1)/log ξ ⏌ ≤ n - 1 ≤⎿pn /log ξ ⏌are attained for a set of values n having positive density


Bibtex:
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Reference Type: Journal Article

Subject Area(s): Number Theory