2 papers
math.CO2025
On Cloitre's hiccup sequences
Robbert Fokkink, Gandhar Joshi
In 2003, Benoit Cloitre entered a family of sequences in the OEIS that we call hiccup sequences. We collect the various claims, observations, and proofs of properties of these sequ…
math.NT2025
Anti-recurrence sequences
Robbert Fokkink, Gandhar Joshi
We extend previous work on anti-recurrence sequences of Kimberling and Moses, Zaslavsky, and Bosma et al. Kimberling and Moses have formulated several questions on these sequences,…