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%I #17 May 14 2021 10:57:49
%S 1,4,9,12,17,22,25,30,38,43,51,59,64,72,80,85,93,106,114,127,140,148,
%T 161,174,182,195,216,229,237,250,271,284,305,326,339,360,373,394,415,
%U 428,449,483,504,538,559,572,593,627,648,682,716,737,771,792,826,860,881
%N Denominators of worst rational approximations to the golden ratio.
%C These are positive integers k such that ||k*phi||/k > ||m*phi||/m for all integers m > k, where phi = (1+sqrt(5))/2 is the golden ratio, and ||x|| is the distance from x to the nearest integer. Luke Schaeffer (personal communication) asks for a formula for these.
%C Conjecture: difference of consecutive terms is always a Fibonacci number.
%Y Cf. A000045, A001622, A344290 (numerators).
%K nonn,frac
%O 1,2
%A _Jeffrey Shallit_, May 13 2021
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