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SUMMARY:Maciej Ulas (Jagiellonian University\, Krakow\, Poland)
DTSTART:20220527T153000Z
DTEND:20220527T155500Z
DTSTAMP:20260423T011321Z
UID:CANT2022/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2022/49/
 ">Solutions of certain meta-Fibonacci recurrences</a>\nby Maciej Ulas (Jag
 iellonian University\, Krakow\, Poland) as part of Combinatorial and addit
 ive number theory (CANT 2022)\n\n\nAbstract\nWe investigate the solutions 
 of certain meta-Fibonacci recurrences of the form $f(n)=f(n-f(n-1))+f(n-2)
 $ for various sets of initial conditions. In the case when $f(n)=1$ for $n
 \\leq 1$\, we prove that the resulting integer sequence is closely related
  to the function counting binary partitions of a certain type (independent
 ly of the value of $f(2)\\in\\mathbb{N}$). \n\nThe talk is based on a join
 t work with Bartosz Sobolewski.\n
LOCATION:https://researchseminars.org/talk/CANT2022/49/
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