This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A065098 #4 Apr 11 2016 17:17:58 %S A065098 239,1839,24627 %N A065098 Sum of reciprocals of terms in period of continued fraction for sqrt(n) is an integer. %C A065098 No additional terms up to n = 1 million. - _Harvey P. Dale_, Apr 11 2016 %e A065098 For n=239 the quotient periods are: [[15],[2,5,1,2,4,15,4,2,1,5,2,30]], (1/2)+(1/5)+1+(1/2)+(1/4)+(1/15)+(1/4)+(1/2)+1+(1/5)+(1/2)+(1/30) = 5. %t A065098 Do[ If[ IntegerQ[ Apply[ Plus, 1/Last[ ContinuedFraction[ Sqrt[n]]]]], Print[n]], {n, 2, 10^5 } ] %t A065098 srcfiQ[n_]:=Module[{s=Sqrt[n]},IntegerQ[If[IntegerQ[s],1/2,Total[1/ ContinuedFraction[s][[2]]]]]]; Select[Range[25000],srcfiQ] (* _Harvey P. Dale_, Apr 11 2016 *) %Y A065098 Cf. A003285, A010340. %K A065098 nonn,bref %O A065098 1,1 %A A065098 _Naohiro Nomoto_, Nov 12 2001