A065012 Integers for which the periodic part of the continued fraction for the square root of n begins with 9.

83, 199, 328, 365, 534, 581, 735, 790, 847, 1031, 1096, 1163, 1304, 1377, 1452, 1529, 1690, 1773, 1858, 1945, 2035, 2126, 2219, 2314, 2411, 2511, 2612, 2715, 2820, 2927, 2928, 3037, 3148, 3261, 3376, 3493, 3494, 3613, 3734, 3857, 3982, 3983, 4109, 4110

Offset

1,1

Links

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

Example

The continued fraction for the square root of 83 is 9, {9, 18}.

Mathematica

Select[ Range[5000], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 9 & ]

Crossrefs

Sequence in context: A066366 A142001 A211170 * A033253 A141933 A238680

Adjacent sequences: A065009 A065010 A065011 * A065013 A065014 A065015

Keyword

cofr,easy,nonn

Author

Robert G. Wilson v, Nov 01 2001

Status

approved