A065030 Numbers k such that the period of the continued fraction for sqrt(5)*k is 2.

2, 4, 9, 18, 34, 36, 68, 72, 161, 322, 323, 483, 610, 644, 646, 966, 1220, 1288, 1292, 1449, 1932, 2576, 2889, 2898, 3355, 3864, 5778, 5796, 6710, 7728, 9455, 10946, 11556, 11592, 13420, 18910, 21892, 23112, 23184, 37820, 49113, 51841, 54891, 98226, 103682

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..289

Mathematica

Select[ Range[ 25000], Length[ Last[ ContinuedFraction[ Sqrt[5] *# ]]] == 2 & ]

Crossrefs

Cf. A064933.

Sequence in context: A034685 A046683 A065055 * A103321 A138196 A298404

Adjacent sequences: A065027 A065028 A065029 * A065031 A065032 A065033

Keyword

nonn

Author

Robert G. Wilson v, Nov 02 2001

Extensions

More terms from Chai Wah Wu, Feb 10 2022

Status

approved