Corpus ID: 203615646

THE FIBONACCI QUARTERLY

@inproceedings{QUARTERLY2010THEFQ,
  title={THE FIBONACCI QUARTERLY},
  author={FIBONACCI QUARTERLY},
  year={2010}
}
  • FIBONACCI QUARTERLY
  • Published 2010
By Zeckendorf’s theorem, an equivalent definition of the Fibonacci sequence (appropriately normalized) is that it is the unique sequence of increasing integers such that every positive number can be written uniquely as a sum of non-adjacent elements; this is called a legal decomposition. Previous work examined the distribution of the number of summands, and the spacings between them, in legal decompositions arising from the Fibonacci numbers and other linear recurrence relations with non… Expand
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