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On heights in the Collatz \(3n+1\) problem

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Publication:1059097
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DOI10.1016/S0012-365X(85)80020-0zbMath0566.10009OpenAlexW2050669740MaRDI QIDQ1059097

Lynn E. Garner

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(85)80020-0


zbMATH Keywords

heightCollatz problemiterationsCollatz functionpairs of consecutive integersSyracuse problem


Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Radix representation; digital problems (11A63) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (2)

On consecutive numbers of the same height in the Collatz problem ⋮ Parity sequences of the 3x+1 map on the 2-adic integers and Euclidean embedding




Cites Work

  • The 3x + 1 Problem and Its Generalizations
  • A stopping time problem on the positive integers




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