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A031599 Numbers n such that continued fraction for sqrt(n) has odd period and central term 11. 0

%I

%S 809,2581,2785,2890,4217,5353,6949,7114,7621,9698,9893,10289,11177,

%T 11597,12461,15325,15817,17429,18218,18754,19298,19946,20506,20789,

%U 21361,22234,23833,25693,27085,27737,29065,29741,30202,30425,30545,30890,31237,32290

%N Numbers n such that continued fraction for sqrt(n) has odd period and central term 11.

%t cf11Q[n_]:=Module[{s=Sqrt[n],len,cf},cf=If[IntegerQ[s],{2,2}, ContinuedFraction[ s][[2]]];len=Length[cf];OddQ[len]&&cf[[(len+1)/2]] == 11]; Select[Range[32000],cf11Q] (* _Harvey P. Dale_, Mar 18 2018 *)

%K nonn

%O 1,1

%A _David W. Wilson_

%E Corrected and extended by _Harvey P. Dale_, Mar 18 2018

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Last modified April 6 16:14 EDT 2020. Contains 333276 sequences. (Running on oeis4.)