Summary: Summation of Series Defined by Counting Blocks of
Digits
J.-P. Allouche
CNRS, LRI, B^atiment 490
F-91405 Orsay Cedex
France
allouche@lri.fr
J. Shallit
School of Computer Science, University of Waterloo
Waterloo, Ontario N2L 3G1
Canada
shallit@graceland.uwaterloo.ca
J. Sondow
209 West 97th Street
New York, NY 10025
USA
jsondow@alumni.princeton.edu
Abstract
We discuss the summation of certain series defined by counting blocks of digits in
the B-ary expansion of an integer. For example, if s2(n) denotes the sum of the base-2

Source: Allouche, Jean-Paul - Laboratoire de Recherche en Informatique, Université de Paris-Sud 11

Collections: Computer Technologies and Information Sciences