A031795 Period of continued fraction for sqrt(n) contains exactly 27 ones.

5539, 7099, 11227, 11651, 12367, 15007, 15343, 17763, 18091, 19027, 24287, 24779, 24895, 28408, 28792, 32248, 35375, 39183, 39783, 40255, 40888, 42355, 44239, 44951, 45123, 45171, 45671, 46096, 46779, 49864, 50803, 50944, 51895, 52235, 52599, 53215

Offset

1,1

Comments

Are there any prime numbers in this sequence? - Zak Seidov, Feb 18 2012

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Mathematica

cf27Q[n_]:=Module[{sqrtn=Sqrt[n]}, !IntegerQ[sqrtn]&&Count[ ContinuedFraction[ sqrtn][[2]], 1]==27]; Select[Range[55000], cf27Q] (* Harvey P. Dale, Feb 18 2012 *)

Crossrefs

Sequence in context: A164079 A278012 A255100 * A180267 A203336 A045104

Adjacent sequences: A031792 A031793 A031794 * A031796 A031797 A031798

Keyword

nonn

Author

David W. Wilson

Status

approved