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Numbers n such that A003144(n) = floor(alpha*n) + 1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.
4

%I #32 Mar 07 2020 13:50:20

%S 12737,13241,15873,16377,32250,32754,48627,49131,68140,78749,79253,

%T 81885,82389,84517,85021,98262,98766,101398,101902,114639,115143,

%U 117775,118279,134152,134656,153665,154169,170042,170546,200164,200668,203300,203804,219677,220181,222813,236054,236558,239190

%N Numbers n such that A003144(n) = floor(alpha*n) + 1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

%C Also positions of -1's in A275926. - _N. J. A. Sloane_, Mar 16 2019

%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.

%H Jeffrey Shallit, <a href="/A275158/a275158_1.pdf">Tribonacci Facts</a>, Nov 03 2017

%Y Cf. A003144, A275926, A278352, A278353.

%K nonn

%O 1,1

%A _Jeffrey Shallit_, Nov 19 2016