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SUMMARY:Maciej Ulas (Jagiellonian University\, Kraków)
DTSTART:20220307T120000Z
DTEND:20220307T130000Z
DTSTAMP:20260423T022931Z
UID:WarsawNT/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/38/
 ">On solutions of certain meta-Fibonacci recurrences</a>\nby Maciej Ulas (
 Jagiellonian University\, Kraków) as part of Warsaw Number Theory Seminar
 \n\nLecture held in currently online.\n\nAbstract\nDuring the talk I will 
 speak about recent findings concerning the solutions of the recurrence seq
 uence $h(n)=h(n-h(n-1))+h(n-2)$. This is a member of a class of so called 
 meta-Fibonacci (or exotic) sequences. We show that for a broad class of in
 itial conditions the behavior of the solutions is easy\, i.e.\, governed b
 y sequences satisfying linear recurrence with constant coefficients or is 
 closely related to certain functions counting binary partitions of special
  type. The talk is based on a joint work with Bartosz Sobolewski.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/38/
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