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A020348 Numbers k such that the continued fraction for sqrt(k) has period 8. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

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Last modified March 31 18:54 EDT 2023. Contains 361672 sequences. (Running on oeis4.)