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A317192 A140100(n) - A140102(n). 2


%S 0,1,0,1,1,2,1,2,3,2,3,3,4,3,4,3,4,4,5,4,5,6,5,6,6,7,6,7,7,8,7,8,9,8,

%T 9,9,10,9,10,9,10,10,11,10,11,12,11,12,12,13,12,13,14,13,14,14,15,14,

%U 15,14,15,15,16,15,16,17,16,17,17

%N A140100(n) - A140102(n).

%C It follows from known properties of A140100 and A140102 that the first differences of this sequence (see A317193) belong to {-1, 0, 1}.

%C Conjecture 1: a(n) = A276796(n) - A276797(n).

%C Conjecture 2: The first-difference sequence A317193 is an encoded form of the ternary tribonacci word A080843.

%C All these conjectures are now theorems - see the Dekking et al. paper. - _N. J. A. Sloane_, Jul 22 2019

%H N. J. A. Sloane, <a href="/A317192/b317192.txt">Table of n, a(n) for n = 1..50000</a>

%H F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, <a href="https://www.combinatorics.org/ojs/index.php/eljc/article/view/v27i1p52/8039">Queens in exile: non-attacking queens on infinite chess boards</a>, Electronic J. Combin., 27:1 (2020), #P1.52.

%Y Cf. A140100, A140101, A140102, A140103, A317193, A080843, A276796, A276797.

%K nonn

%O 1,6

%A _N. J. A. Sloane_, Jul 31 2018

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Last modified September 30 21:27 EDT 2020. Contains 337440 sequences. (Running on oeis4.)