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A020423 Numbers k such that the continued fraction for sqrt(k) has period 84. 0

%I #15 Jul 11 2021 07:23:01

%S 1831,1999,2149,2791,3292,4126,4237,4393,4639,4897,5121,5279,5534,

%T 5971,5996,6621,6729,7209,7214,7661,7737,8014,8129,8251,8361,8457,

%U 8577,8674,8812,8817,8947,9356,9376,9469,9541,9753,10063,10113,10487,11157,11229

%N Numbers k such that the continued fraction for sqrt(k) has period 84.

%t cf84Q[n_] := Module[{s = Sqrt[n], c}, c = If[IntegerQ[s], {1}, ContinuedFraction[s][[2]]]; Length[c] == 84]; Select[Range[12000], cf84Q] (* _Harvey P. Dale_, Nov 03 2015 *)

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified May 14 05:12 EDT 2024. Contains 372528 sequences. (Running on oeis4.)