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Denominators of worst approximations to phi, the golden ratio.
1

%I #7 May 14 2021 10:57:51

%S 1,2,4,7,9,12,17,22,25,30,38,46,51,59,64,72,85,93,106,114,119,127,140,

%T 148,161,174,182,195,216,229,237,250,271,284,292,305,326,339,360,381,

%U 394,415,428,449,470,483,504,538,559,572,593,627,648,661,682,716,737

%N Denominators of worst approximations to phi, the golden ratio.

%C Numbers k such that k||k*phi|| > m||m*phi|| for all m < k. Here ||x|| is the distance from x to the nearest integer.

%Y Cf. A001622, A344275.

%K nonn,frac

%O 1,2

%A _Jeffrey Shallit_, May 14 2021