Anti-Recurrence Sequences
Abstract
We extend the work of Kimberling and Moses, Zaslavsky, and Bosma et al. on anti-recurrence sequences. Kimberling and Moses formulated several questions about these sequences, which together suggest the meta-conjecture that every antirecurrence sequence is the sum of a linear progression and an automatic sequence. We solve this conjecture under a restriction on the linear form that generates the anti-recurrence.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
semigroups and automata theory
Analytic Number Theory Research
Publication details
- Journal / source
- Open Research Online (The Open University)
- Publication date
- 19 January 2026
- Language
- EN