The maximal order of hyper-(\(b\)-ary)-expansions

zbMath1355.05035arXiv1511.08267MaRDI QIDQ510326

Lukas Spiegelhofer, Michael Coons

Publication date: 17 February 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08267

zbMATH Keywords

maximal orderhyper base expansionsStern's diatomic sequence

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Recurrences (11B37) Asymptotic enumeration (05A16) Radix representation; digital problems (11A63) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

Statistical distribution of the Stern sequence ⋮ Properties of multivariate \(b\)-ary Stern polynomials ⋮ Proof of Northshield's conjecture concerning an analogue of Stern's sequence for $\mathbb{Z}[\sqrt{2}$] ⋮ Hyper $b$-ary expansions and Stern polynomials ⋮ A digit reversal property for an analogue of Stern's sequence ⋮ Unnamed Item

Cites Work

• Upper bounds for Stern's diatomic sequence and related sequences
• The ring of \(k\)-regular sequences
• The ring of \(k\)-regular sequences. II.
• The maximal order of Stern's diatomic sequence
• An extension of Stern's diatomic series

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