Duncan, RL (1967)
An application of uniform distributions to the Fibonacci numbers
Fibonacci Quarterly 5, 137-140
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.
MathSciNet: MR0240058 (39 #1412)
Zentralblatt: Zbl 0212.39501
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Reference Type: Journal Article
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Subject Area(s):
Number Theory
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