### 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 5–9, 2010, pp. 25–42.

**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