A031783 Period of continued fraction for sqrt(n) contains exactly 15 ones.

871, 2675, 3683, 4819, 5863, 6731, 8056, 8827, 9592, 9971, 10207, 10323, 12019, 12455, 12584, 15224, 15563, 15696, 16168, 16536, 16808, 17155, 17235, 18535, 19039, 20923, 20995, 21255, 21576, 22608, 24464, 24495, 24883, 26151, 26207, 26827, 26967

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Mathematica

cf15Q[n_]:=Module[{s=Sqrt[n]}, If[IntegerQ[s], 1, Count[ContinuedFraction[ s] [[2]], 1]]==15]; Select[Range[27000], cf15Q] (* Harvey P. Dale, May 09 2021 *)

Crossrefs

Sequence in context: A205426 A035855 A317806 * A253167 A214285 A251841

Adjacent sequences: A031780 A031781 A031782 * A031784 A031785 A031786

Keyword

nonn

Author

David W. Wilson

Status

approved