A065007 Integers for which the periodic part of the continued fraction for the square root of n begins with 4.

5, 18, 39, 52, 68, 85, 105, 126, 149, 150, 175, 202, 203, 232, 263, 264, 296, 297, 332, 333, 369, 370, 409, 410, 450, 451, 493, 494, 495, 539, 540, 586, 587, 588, 636, 637, 687, 688, 689, 740, 741, 742, 796, 797, 798, 853, 854, 855, 913, 914, 915, 974, 975

Offset

1,1

Links

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

Example

The continued fraction for the square root of 39 is 6, {4, 12}.

Mathematica

Select[ Range[1000], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 4 & ]

Crossrefs

Cf. A065005.

Sequence in context: A294090 A038346 A220243 * A031428 A007742 A225272

Adjacent sequences: A065004 A065005 A065006 * A065008 A065009 A065010

Keyword

easy,nonn

Author

Robert G. Wilson v, Nov 01 2001

Status

approved