A020350 Numbers k such that the continued fraction for sqrt(k) has period 11.

61, 97, 233, 298, 317, 554, 757, 773, 794, 797, 1322, 1385, 1429, 1625, 1658, 1730, 1769, 1865, 1973, 2069, 2081, 2218, 2249, 2285, 2357, 2465, 2690, 2890, 2941, 2986, 3233, 3242, 3341, 3538, 3545, 3986, 4250, 4274, 4553, 4597, 4610, 4649, 4682, 4889

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Mathematica

cf11Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 1, Length[ ContinuedFraction[ s][[2]]]]==11]; Select[Range[5000], cf11Q] (* Harvey P. Dale, Mar 28 2019 *)

Crossrefs

Sequence in context: A045562 A104229 A088787 * A142108 A033239 A106390

Adjacent sequences: A020347 A020348 A020349 * A020351 A020352 A020353

Keyword

nonn

Author

David W. Wilson

Status

approved