A065011 Integers for which the periodic part of the continued fraction for the square root of n begins with 8.

17, 66, 147, 172, 260, 293, 405, 446, 489, 582, 631, 682, 791, 848, 907, 968, 1032, 1097, 1164, 1233, 1305, 1378, 1453, 1530, 1609, 1610, 1691, 1774, 1859, 1946, 1947, 2036, 2127, 2220, 2315, 2316, 2412, 2413, 2512, 2613, 2716, 2717, 2821, 2822, 2929

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Example

The continued fraction for the square root of 147 is 12, {8, 24}.

Mathematica

Select[ Range[3000], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 8 & ]

Crossrefs

Cf. A065005.

Sequence in context: A044155 A044536 A115295 * A031432 A157474 A024215

Adjacent sequences: A065008 A065009 A065010 * A065012 A065013 A065014

Keyword

easy,nonn

Author

Robert G. Wilson v, Nov 01 2001

Status

approved