The Maximal Order of Hyper-($b$-ary)-expansions
Copyright policy )The Maximal Order of Hyper-($b$-ary)-expansions
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 $b\geqslant 2$.
- University of Newcastle Australia Australia
- TU Wien Austria
Stern's diatomic sequence, Asymptotic enumeration, Combinatorial inequalities, 05A16, 11B37, 11B39, maximal order, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, Recurrences, Combinatorics (math.CO), hyper base expansions, Radix representation; digital problems
Stern's diatomic sequence, Asymptotic enumeration, Combinatorial inequalities, 05A16, 11B37, 11B39, maximal order, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, Recurrences, Combinatorics (math.CO), hyper base expansions, Radix representation; digital problems
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