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%I #14 Jul 06 2024 16:06:43
%S 3723,3727,3739,3767,3779,3791,3803,3823,3827,3847,3851,3859,3863,
%T 3867,3871,3907,3911,3919,3923,3931,3943,3947,3967,14888,14920,14944,
%U 14976,15016,15040,15072,15080,15104,15168,15200,15208,15232,15264,15360,15392
%N Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 61.
%t cf61Q[n_]:=Module[{srt=Sqrt[n],len,cf},cf=ContinuedFraction[srt];If[ IntegerQ[srt],len=1,len=Length[cf[[2]]]];EvenQ[len]&&cf[[2]][[len/2]]==61]; Select[Range[15400],cf61Q] (* _Harvey P. Dale_, Jun 12 2012 *)
%K nonn
%O 1,1
%A _David W. Wilson_
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