A020348 Numbers k such that the continued fraction for sqrt(k) has period 8.

31, 44, 69, 71, 91, 92, 108, 135, 153, 158, 160, 177, 188, 204, 205, 206, 207, 209, 234, 238, 279, 282, 316, 332, 348, 352, 378, 383, 384, 413, 414, 416, 423, 432, 450, 468, 476, 492, 503, 539, 540, 555, 585, 608, 612, 638, 658, 668, 684, 693, 695, 696, 704, 706, 707

Offset: 1

Author

David W. Wilson

Keywords

• nonn
• changed

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Vincenzo Librandi)

Programs

Mathematica

Select[Range[1000], Length[Last[ContinuedFraction[Sqrt[#]]]] == 8 &] (* Alonso del Arte, Mar 04 2018 *)