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SUMMARY:Gandhar Joshi (The Open University)
DTSTART:20260505T120000Z
DTEND:20260505T130000Z
DTSTAMP:20260423T021341Z
UID:OWNS/167
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/167/">H
 iccup sequences\, a Kimberling's conjecture\, and Dumont-Thomas numeration
  systems</a>\nby Gandhar Joshi (The Open University) as part of One World 
 Numeration seminar\n\n\nAbstract\nThis is part of a joint work with Robber
 t Fokkink (TU Delft). We generalise the self-referential sequences introdu
 ced by Benoit Cloitre in 2003 on OEIS under the umbrella term ‘hiccup se
 quences’ with a direct skeletal influence from a ‘remarkable’ paper 
 by Dekking\, Bosma\, and Steiner (2018) describing one such sequence in fi
 ve very interesting ways. In this talk\, we begin with one such way that u
 ses morphisms. Using the Dumont-Thomas numeration system (DTNS) associated
  with the morphism\, we prove a Kimberling’s conjecture on the OEIS abou
 t the bounds of a difference sequence related to one such sequence. There 
 is also some use of Walnut software for Ollinger provides a tool that conv
 erts the DTNS into a set of Walnut-readable automata.\n
LOCATION:https://researchseminars.org/talk/OWNS/167/
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