- Title
- Proof of northshield’s conjecture concerning an analogue of stern’s sequence for ℤ[√2]
- Creator
- Coons, Michael
- Relation
- Australasian Journal of Combinatorics Vol. 71, Issue 1, p. 113-120
- Relation
- https://ajc.maths.uq.edu.au/?page=get_volumes&volume=71
- Publisher
- Centre for Discrete Mathematics & Computing
- Resource Type
- journal article
- Date
- 2018
- Description
- We prove a conjecture of Northshield by determining the maximal order of his analogue of Stern's sequence for Z[2–√]. In particular, if b is Northshield's analogue, we prove that lim supn→∞2b(n)(2n)log3(2√+1)=1.
- Subject
- Northshield's conjecture; Stern's sequence; logarithm; analogue
- Identifier
- http://hdl.handle.net/1959.13/1441387
- Identifier
- uon:41410
- Identifier
- ISSN:1034-4942
- Language
- eng
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