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math.DS2020
A Fractional Conjecture
Éric Brier, Rémi Géraud-Stewart, David Naccache
In this paper we introduce and discuss the sequence of \emph{real numbers} defined as and where \begin{equation*} Δ(x) = \begin{cases} \frac{…
math.DS2020
The Look-and-Say The Biggest Sequence Eventually Cycles
Éric Brier, Rémi Géraud-Stewart, David Naccache +2
In this paper we consider a variant of Conway's sequence (OEIS A005150, A006715) defined as follows: the next term in the sequence is obtained by considering contiguous runs of dig…
math.DS2020
Stuttering Conway Sequences Are Still Conway Sequences
Éric Brier, Rémi Géraud-Stewart, David Naccache +2
A look-and-say sequence is obtained iteratively by reading off the digits of the current value, grouping identical digits together: starting with 1, the sequence reads: 1, 11, 21,…