Proof of Northshield's conjecture concerning an analogue of Stern's sequence for $\mathbb{Z}[\sqrt{2}]$

Michael Coons. Proof of Northshield's conjecture concerning an analogue of Stern's sequence for $\mathbb{Z}[\sqrt{2}]$. Australasian J. Combinatorics, 71:113-120, 2018. [doi]

@article{Coons18,
  title = {Proof of Northshield's conjecture concerning an analogue of Stern's sequence for $\mathbb{Z}[\sqrt{2}]$},
  author = {Michael Coons},
  year = {2018},
  url = {http://ajc.maths.uq.edu.au/pdf/71/ajc_v71_p113.pdf},
  researchr = {https://researchr.org/publication/Coons18},
  cites = {0},
  citedby = {0},
  journal = {Australasian J. Combinatorics},
  volume = {71},
  pages = {113-120},
}