The Maximal Order of Hyper-($b$-ary)-expansions
Michael James Coons, Lukas Spiegelhofer · The Electronic Journal of Combinatorics · 2017
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 $b\geqslant 2$.