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math.NT2005
Summation of Series Defined by Counting Blocks of Digits
Jean-Paul Allouche, Jeffrey Shallit, Jonathan Sondow
We discuss the summation of certain series defined by counting blocks of digits in the -ary expansion of an integer. For example, if denotes the sum of the base-2 digit…
math.CO2005
Binary words containing infinitely many overlaps
James Currie, Narad Rampersad, Jeffrey Shallit
We characterize the squares occurring in infinite overlap-free binary words and construct various alpha power-free binary words containing infinitely many overlaps.