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Barrale, T, Hendel, R and Sluys, M (2010)

Sequences of the initial digits of Fibonacci numbers

In: Proceedings of the 14th international conference on Fibonacci numbers and their applications, Morelia, Mexico, July 59, 2010, pp. 2542.

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



Abstract: We prove that there are exactly 10 non-trivial distinct sequences of initial digits of base 10 Fibonacci numbers with a fixed number of digits. We show that the distribution of a related sequence is Benford and provide upper and lower bounds on the difference between the two sequences. We partially generalize to b-adic representations for any base b and to the generalized Fibonacci numbers.


Bibtex:
@inproceedings{, AUTHOR={Barrale, Tom and Hendel, Russell and Sluys, Michael}, TITLE={Sequences of the initial digits of Fibonacci numbers}, BOOKTITLE={Proceedings of the 14th international conference on Fibonacci numbers and their applications}, ADDRESS={Morelia, Mexico}, MONTH={July}, YEAR={2010}, PAGE={25--42}, }


Reference Type: Conference Paper

Subject Area(s): Number Theory