A064933 Numbers k such that the period of the continued fraction for sqrt(3)*k is 2.

1, 2, 3, 4, 7, 11, 14, 15, 26, 28, 41, 52, 56, 78, 97, 130, 153, 156, 194, 209, 260, 362, 388, 390, 571, 679, 724, 765, 776, 780, 1351, 1358, 1552, 2131, 2702, 2716, 2911, 3982, 4053, 5042, 5404, 5432, 6755, 6878, 7953, 7964, 8106, 8109, 10084, 10808

Offset

1,2

References

R. K. Guy, personal communication.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..382

Mathematica

Select[Range[1024], Length[Last[ContinuedFraction[Sqrt[3]*# ]]]==2& ]
Select[ Range[20000], Length[ Last[ ContinuedFraction[ Sqrt[3]*# ]]] ==2 & ]

Crossrefs

Sequence in context: A279071 A171027 A348792 * A060731 A238492 A140827

Adjacent sequences: A064930 A064931 A064932 * A064934 A064935 A064936

Keyword

nonn

Author

Wouter Meeussen, Oct 26 2001

Extensions

More terms from Robert G. Wilson v, Oct 31 2001

Status

approved