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%I #14 Aug 18 2021 00:10:32
%S 4909,26293,26618,44602,65657,66685,91373,120634,153953,154738,156314,
%T 157898,193961,238585,281429,283553,286754,289973,332401,333554,
%U 334709,335866,338186,341681,344021,345194,387613,395113,400153,447065
%N Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 46.
%t cf46Q[n_]:=Module[{s=Sqrt[n],cf,len},cf=If[IntegerQ[s],{1,1}, ContinuedFraction[ s][[2]]];len=Length[cf];OddQ[len] && cf[[(len-1)/2]] == cf[[(len+1)/2]]==46]; Select[Range[500000],cf46Q] (* _Harvey P. Dale_, Apr 14 2020 *)
%K nonn
%O 1,1
%A _David W. Wilson_
%E First term 2117 removed by _Georg Fischer_, Jun 16 2019
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