2 papers
math.CO2024
Some Fibonacci-Related Sequences
Benoit Cloitre, Jeffrey Shallit
We discuss an interesting sequence defined recursively; namely, sequence A105774 from the On-Line Encyclopedia of Integer Sequences, and study some of its properties. Our main tool…
math.NT2014
Beyond odious and evil
Jean-Paul Allouche, Benoit Cloitre, Vladimir Shevelev
In a recent post on the Seqfan list the third author proposed a conjecture concerning the summatory function of odious numbers (i.e., of numbers whose sum of binary digits is odd),…