The Maximal Order of Hyper-($b$-ary)-expansions

  • Michael Coons
  • Lukas Spiegelhofer
DOI: https://doi.org/10.37236/5441
Keywords: Stern's diatomic sequence, Hyper base expansions, Maximal order

Abstract

Using methods developed by Coons and Tyler, we give a new proof of a recent result of Defant, by determining the maximal order of the number of hyper-($b$-ary)-expansions of a nonnegative integer $n$ for general integral bases $b\geqslant 2$.

Published
2017-02-03
Issue
Volume 24, Issue 1 (2017)
Article Number
P1.15