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The Josephus problem

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Publication:1388988
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DOI10.5802/JTNB.204zbMath0905.05002OpenAlexW2080167820MaRDI QIDQ1388988

Norbert Hungerbühler, Lorenz Halbeisen

Publication date: 2 February 1999

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1997__9_2_303_0


zbMATH Keywords

algorithmJosephus numbersnon-recursive formulas


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Recurrences (11B37)


Related Items (6)

The feline Josephus problem ⋮ Representing real numbers in a generalized numeration system ⋮ Powers of rationals modulo 1 and rational base number systems ⋮ General solution to the spectator-first Tantalizer problem ⋮ Block Josephus Problem: When the reality is more cruel than the old story ⋮ Serial execution Josephus problem




Cites Work

  • Unnamed Item
  • Das Problem der Abzählreime und Zahlentwicklungen mit gebrochenen Basen. (The problem of counting-out rhymes and expansion of numbers into fractional bases)
  • On the generalized Josephus problem




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