|Journal of Integer Sequences, Vol. 14 (2011), Article 11.6.8|
José María Grau
Departamento de Matematicas
Universidad de Oviedo
Avda. Calvo Sotelo, s/n,
In particular, if is a prime power, we will show the equality between the digits of and the first digits in the fractional part of . In the general case we will see that this equality still holds except for, at most, the last digits. We finally show that this bound can be improved if is square-free and present some conjectures about this bound.
(Concerned with sequences
Received February 25 2011; revised version received June 7 2011. Published in Journal of Integer Sequences, June 10 2011.