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

1,1

Links

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

Mathematica

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

Crossrefs

Sequence in context: A014752 A306787 A227622 * A033905 A033661 A219243

Adjacent sequences: A020345 A020346 A020347 * A020349 A020350 A020351

Keyword

nonn

Author

David W. Wilson

Status

approved