Proof of Northshield's conjecture concerning an analogue of Stern's sequence for ℤ[√2].
Michael James Coons · NOVA (University of Newcastle Australia) · 2018
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.