A065006 Integers for which the periodic part of the continued fraction for the square root of n begins with 3.

11, 28, 40, 53, 69, 86, 87, 106, 127, 128, 151, 152, 176, 177, 204, 205, 233, 234, 235, 265, 266, 298, 299, 300, 334, 335, 336, 371, 372, 373, 411, 412, 413, 452, 453, 454, 455, 496, 497, 498, 541, 542, 543, 544, 589, 590, 591, 592, 638, 639, 640, 641, 690

Offset

1,1

Links

Table of n, a(n) for n=1..53.

Example

The continued fraction for the square root of 11 is 3, {3, 6}.

Mathematica

Select[ Range[800], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 3 & ]

Crossrefs

Cf. A065005.

Sequence in context: A137019 A122929 A030756 * A291058 A061952 A336335

Adjacent sequences: A065003 A065004 A065005 * A065007 A065008 A065009

Keyword

easy,nonn

Author

Robert G. Wilson v, Nov 01 2001

Status

approved