@article{Garner1985,
  author    = {{Lynn E. Garner}},
  title     = {{On heights in the Collatz $3n  +  1$ problem}},
  journal   = {{Discrete Math.}},
  year      = {{1985}},
  volume    = {{55}},
  pages     = {{57--64}},
  url       = {{https://www.semanticscholar.org/paper/On-heights-in-the-Collatz-3n-%2B-1-problem-Garner/efbb23cb82ef9e35f080c867a3e016f20c7c5762}},
  abstract  = {{In the Collate problem, certain runs of consecutive integers have the same height. This phenomenon is investigated using an algorithm for reconstructing the trajectory of a number from the parity vector of the number. It is found that pairs of consecutive integers of the same height occur infinitely often and in infinitely many different patterns.}},
  note      = {{MR 86j:11005}},
  extra_urls= {{https://www.scilit.com/publications/57fab4f48eeab3dc8338eb8b32d5e78b}},
}