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F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, <a href="httphttps://arxivwww.combinatorics.org/absojs/1907index09120php/eljc/article/view/v27i1p52/8039">Queens in exile: non-attacking queens on infinite chess boards</a>, arXivElectronic J. Combin., 27:19071 (2020), #P1.52.09120, July 2019
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This relation between A003144 and A140101 is a conjecture - Michel Dekking, Mar 18 2019 [It has been a theorem since Mar 22 2019 . - N. J. A. Sloane, Jun 25 2019. (See the Dekking et al. paper)]
F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, <a href="http://arxiv.org/abs/1907.09120">Queens in exile: non-attacking queens on infinite chess boards</a>, arXiv:1907.09120, July 2019
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This relation between A003144 and A140101 is a conjecture - Michel Dekking, Mar 18 2019 [It has been a theorem since Mar 22 2019 - _N. J. A. Sloane_, Jun 25 2019]
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(a(n)) is a morphic sequence: in the tribonacci word A092782 = 1,2,1,3,1,2,1,1,... map 1 -> 2, 2 -> 2, 3 -> 1. - Michel Dekking, Mar 21 2019
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